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88672272 = 24313217643
BaseRepresentation
bin1010100100100…
…00100000010000
320011212000111020
411102100200100
5140200003042
612444315440
72124462513
oct522204020
9204760436
1088672272
1146064877
1225842b80
13154a8800
14bac2d7a
157bb83ec
hex5490810

88672272 has 120 divisors (see below), whose sum is σ = 263045664. Its totient is φ = 25638912.

The previous prime is 88672267. The next prime is 88672277. The reversal of 88672272 is 27227688.

It is an interprime number because it is at equal distance from previous prime (88672267) and next prime (88672277).

It is not an unprimeable number, because it can be changed into a prime (88672277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137583 + ... + 138225.

Almost surely, 288672272 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 88672272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131522832).

88672272 is an abundant number, since it is smaller than the sum of its proper divisors (174373392).

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

88672272 is a wasteful number, since it uses less digits than its factorization.

88672272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 678 counting only the distinct ones).

The product of its digits is 150528, while the sum is 42.

The square root of 88672272 is about 9416.5955631534. The cubic root of 88672272 is about 445.9258122965.

The spelling of 88672272 in words is "eighty-eight million, six hundred seventy-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 34 39 48 51 52 68 78 102 104 136 156 169 204 208 221 272 312 338 408 442 507 624 643 663 676 816 884 1014 1286 1326 1352 1768 1929 2028 2572 2652 2704 2873 3536 3858 4056 5144 5304 5746 7716 8112 8359 8619 10288 10608 10931 11492 15432 16718 17238 21862 22984 25077 30864 32793 33436 34476 43724 45968 50154 65586 66872 68952 87448 100308 108667 131172 133744 137904 142103 174896 200616 217334 262344 284206 326001 401232 426309 434668 524688 568412 652002 852618 869336 1136824 1304004 1705236 1738672 1847339 2273648 2608008 3410472 3694678 5216016 5542017 6820944 7389356 11084034 14778712 22168068 29557424 44336136 88672272