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88664928 = 25311217449
BaseRepresentation
bin1010100100011…
…10101101100000
320011211122102020
411102032231200
5140144234203
612444221440
72124432222
oct522165540
9204748366
1088664928
114605a300
122583a880
13154a5371
14bac0412
157bb6153
hex548eb60

88664928 has 144 divisors (see below), whose sum is σ = 271479600. Its totient is φ = 25231360.

The previous prime is 88664921. The next prime is 88664951. The reversal of 88664928 is 82946688.

It is a happy number.

It is a super-2 number, since 2×886649282 = 15722938914490368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88664921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 197248 + ... + 197696.

It is an arithmetic number, because the mean of its divisors is an integer number (1885275).

Almost surely, 288664928 is an apocalyptic number.

88664928 is a gapful number since it is divisible by the number (88) 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 88664928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135739800).

88664928 is an abundant number, since it is smaller than the sum of its proper divisors (182814672).

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

88664928 is a wasteful number, since it uses less digits than its factorization.

88664928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 482 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 51.

The square root of 88664928 is about 9416.2056052319. The cubic root of 88664928 is about 445.9135011591.

The spelling of 88664928 in words is "eighty-eight million, six hundred sixty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 44 48 51 66 68 88 96 102 121 132 136 176 187 204 242 264 272 352 363 374 408 449 484 528 544 561 726 748 816 898 968 1056 1122 1347 1452 1496 1632 1796 1936 2057 2244 2694 2904 2992 3592 3872 4114 4488 4939 5388 5808 5984 6171 7184 7633 8228 8976 9878 10776 11616 12342 14368 14817 15266 16456 17952 19756 21552 22899 24684 29634 30532 32912 39512 43104 45798 49368 54329 59268 61064 65824 79024 83963 91596 98736 108658 118536 122128 158048 162987 167926 183192 197472 217316 237072 244256 251889 325974 335852 366384 434632 474144 503778 651948 671704 732768 869264 923593 1007556 1303896 1343408 1738528 1847186 2015112 2607792 2686816 2770779 3694372 4030224 5215584 5541558 7388744 8060448 11083116 14777488 22166232 29554976 44332464 88664928