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4848648 = 233731931
BaseRepresentation
bin10010011111110000001000
3100010100002120
4102133300020
52220124043
6251531240
756133000
oct22376010
910110076
104848648
112811952
121759b20
131009c2c
14903000
1565b983
hex49fc08

4848648 has 128 divisors (see below), whose sum is σ = 15360000. Its totient is φ = 1270080.

The previous prime is 4848643. The next prime is 4848659. The reversal of 4848648 is 8468484.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 (4848643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 156393 + ... + 156423.

It is an arithmetic number, because the mean of its divisors is an integer number (120000).

Almost surely, 24848648 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 4848648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7680000).

4848648 is an abundant number, since it is smaller than the sum of its proper divisors (10511352).

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

4848648 is a wasteful number, since it uses less digits than its factorization.

4848648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 62 counting only the distinct ones).

The product of its digits is 196608, while the sum is 42.

The square root of 4848648 is about 2201.9645773718. The cubic root of 4848648 is about 169.2544979230.

The spelling of 4848648 in words is "four million, eight hundred forty-eight thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 31 38 42 49 56 57 62 76 84 93 98 114 124 133 147 152 168 186 196 217 228 248 266 294 343 372 392 399 434 456 532 588 589 651 686 744 798 868 931 1029 1064 1176 1178 1302 1372 1519 1596 1736 1767 1862 2058 2356 2604 2744 2793 3038 3192 3534 3724 4116 4123 4557 4712 5208 5586 6076 6517 7068 7448 8232 8246 9114 10633 11172 12152 12369 13034 14136 16492 18228 19551 21266 22344 24738 26068 28861 31899 32984 36456 39102 42532 49476 52136 57722 63798 78204 85064 86583 98952 115444 127596 156408 173166 202027 230888 255192 346332 404054 606081 692664 808108 1212162 1616216 2424324 4848648