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48472424 = 23711136053
BaseRepresentation
bin1011100011101…
…0000101101000
310101012122122222
42320322011220
544402104144
64450533212
71126003010
oct270720550
9111178588
1048472424
11253a8060
1214297208
13a072010
14661ac40
1543c72ee
hex2e3a168

48472424 has 64 divisors (see below), whose sum is σ = 122048640. Its totient is φ = 17429760.

The previous prime is 48472421. The next prime is 48472429. The reversal of 48472424 is 42427484.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (48472421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4982 + ... + 11034.

It is an arithmetic number, because the mean of its divisors is an integer number (1907010).

Almost surely, 248472424 is an apocalyptic number.

48472424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48472424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61024320).

48472424 is an abundant number, since it is smaller than the sum of its proper divisors (73576216).

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

48472424 is a wasteful number, since it uses less digits than its factorization.

48472424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6090 (or 6086 counting only the distinct ones).

The product of its digits is 57344, while the sum is 35.

The square root of 48472424 is about 6962.2140156706. The cubic root of 48472424 is about 364.6125218130.

It can be divided in two parts, 4847 and 2424, that multiplied together give a triangular number (11749128 = T4847).

The spelling of 48472424 in words is "forty-eight million, four hundred seventy-two thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 91 104 143 154 182 286 308 364 572 616 728 1001 1144 2002 4004 6053 8008 12106 24212 42371 48424 66583 78689 84742 133166 157378 169484 266332 314756 338968 466081 532664 550823 629512 865579 932162 1101646 1731158 1864324 2203292 3462316 3728648 4406584 6059053 6924632 12118106 24236212 48472424