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48472344 = 23341931127
BaseRepresentation
bin1011100011101…
…0000100011000
310101012122120000
42320322010120
544402103334
64450533000
71126002534
oct270720430
9111178500
1048472344
11253a7a98
1214297160
13a071c7b
14661abc4
1543c7299
hex2e3a118

48472344 has 160 divisors (see below), whose sum is σ = 148684800. Its totient is φ = 14696640.

The previous prime is 48472301. The next prime is 48472349. The reversal of 48472344 is 44327484.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 48472299 and 48472308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48472349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 381609 + ... + 381735.

It is an arithmetic number, because the mean of its divisors is an integer number (929280).

Almost surely, 248472344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48472344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74342400).

48472344 is an abundant number, since it is smaller than the sum of its proper divisors (100212456).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

48472344 is a wasteful number, since it uses less digits than its factorization.

48472344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 182 counting only the distinct ones).

The product of its digits is 86016, while the sum is 36.

The square root of 48472344 is about 6962.2082703694. The cubic root of 48472344 is about 364.6123212246.

The spelling of 48472344 in words is "forty-eight million, four hundred seventy-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 31 36 38 54 57 62 72 76 81 93 108 114 124 127 152 162 171 186 216 228 248 254 279 324 342 372 381 456 508 513 558 589 648 684 744 762 837 1016 1026 1116 1143 1178 1368 1524 1539 1674 1767 2052 2232 2286 2356 2413 2511 3048 3078 3348 3429 3534 3937 4104 4572 4712 4826 5022 5301 6156 6696 6858 7068 7239 7874 9144 9652 10044 10287 10602 11811 12312 13716 14136 14478 15748 15903 19304 20088 20574 21204 21717 23622 27432 28956 31496 31806 35433 41148 42408 43434 47244 47709 57912 63612 65151 70866 74803 82296 86868 94488 95418 106299 127224 130302 141732 149606 173736 190836 195453 212598 224409 260604 283464 299212 318897 381672 390906 425196 448818 521208 598424 637794 673227 781812 850392 897636 1275588 1346454 1563624 1795272 2019681 2551176 2692908 4039362 5385816 6059043 8078724 12118086 16157448 24236172 48472344