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268960528 = 2423243739
BaseRepresentation
bin10000000010000…
…000001100010000
3200202002121111001
4100002000030100
51022323214103
642404431344
76444061324
oct2002001420
9622077431
10268960528
11128904031
12760a8554
1343950955
1427a13984
151892c01d
hex10080310

268960528 has 60 divisors (see below), whose sum is σ = 558176080. Its totient is φ = 125471808.

The previous prime is 268960513. The next prime is 268960547. The reversal of 268960528 is 825069862.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 363583 + ... + 364321.

Almost surely, 2268960528 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 268960528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279088040).

268960528 is an abundant number, since it is smaller than the sum of its proper divisors (289215552).

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

268960528 is a wasteful number, since it uses less digits than its factorization.

268960528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 46.

The square root of 268960528 is about 16400.0160975531. The cubic root of 268960528 is about 645.4999053008.

The spelling of 268960528 in words is "two hundred sixty-eight million, nine hundred sixty thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 16 23 43 46 86 92 172 184 344 368 529 688 739 989 1058 1478 1978 2116 2956 3956 4232 5912 7912 8464 11824 15824 16997 22747 31777 33994 45494 63554 67988 90988 127108 135976 181976 254216 271952 363952 390931 508432 730871 781862 1461742 1563724 2923484 3127448 5846968 6254896 11693936 16810033 33620066 67240132 134480264 268960528