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152533056 = 26313232657
BaseRepresentation
bin10010001011101…
…11100001000000
3101122000111000110
421011313201000
5303022024211
623045151320
73531336534
oct1105674100
9348014013
10152533056
1179112385
12430bb540
13257a7b60
1416387bc4
15d5ceea6
hex9177840

152533056 has 112 divisors (see below), whose sum is σ = 453688704. Its totient is φ = 44875776.

The previous prime is 152533049. The next prime is 152533067. The reversal of 152533056 is 650335251.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 56080 + ... + 58736.

It is an arithmetic number, because the mean of its divisors is an integer number (4050792).

Almost surely, 2152533056 is an apocalyptic number.

152533056 is a gapful number since it is divisible by the number (16) 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 152533056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226844352).

152533056 is an abundant number, since it is smaller than the sum of its proper divisors (301155648).

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

152533056 is a wasteful number, since it uses less digits than its factorization.

152533056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2708 (or 2698 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 30.

The square root of 152533056 is about 12350.4273610268. The cubic root of 152533056 is about 534.3034648198.

The spelling of 152533056 in words is "one hundred fifty-two million, five hundred thirty-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 32 39 46 48 52 64 69 78 92 96 104 138 156 184 192 208 276 299 312 368 416 552 598 624 736 832 897 1104 1196 1248 1472 1794 2208 2392 2496 2657 3588 4416 4784 5314 7176 7971 9568 10628 14352 15942 19136 21256 28704 31884 34541 42512 57408 61111 63768 69082 85024 103623 122222 127536 138164 170048 183333 207246 244444 255072 276328 366666 414492 488888 510144 552656 733332 794443 828984 977776 1105312 1466664 1588886 1657968 1955552 2210624 2383329 2933328 3177772 3315936 3911104 4766658 5866656 6355544 6631872 9533316 11733312 12711088 19066632 25422176 38133264 50844352 76266528 152533056