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88297272 = 23327414273
BaseRepresentation
bin1010100001101…
…00111100111000
320011010222002100
411100310330320
5140101003042
612432303400
72121341310
oct520647470
9204128070
1088297272
1145929058
12256a1b60
13153a6c0b
14ba26440
157b4224c
hex5434f38

88297272 has 96 divisors (see below), whose sum is σ = 280032480. Its totient is φ = 24606720.

The previous prime is 88297267. The next prime is 88297283. The reversal of 88297272 is 27279288.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18528 + ... + 22800.

It is an arithmetic number, because the mean of its divisors is an integer number (2917005).

Almost surely, 288297272 is an apocalyptic number.

88297272 is a gapful number since it is divisible by the number (82) 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 88297272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140016240).

88297272 is an abundant number, since it is smaller than the sum of its proper divisors (191735208).

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

88297272 is a wasteful number, since it uses less digits than its factorization.

88297272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4333 (or 4326 counting only the distinct ones).

The product of its digits is 225792, while the sum is 45.

The square root of 88297272 is about 9396.6628118710. The cubic root of 88297272 is about 445.2963089884.

The spelling of 88297272 in words is "eighty-eight million, two hundred ninety-seven thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 41 42 56 63 72 82 84 123 126 164 168 246 252 287 328 369 492 504 574 738 861 984 1148 1476 1722 2296 2583 2952 3444 4273 5166 6888 8546 10332 12819 17092 20664 25638 29911 34184 38457 51276 59822 76914 89733 102552 119644 153828 175193 179466 239288 269199 307656 350386 358932 525579 538398 700772 717864 1051158 1076796 1226351 1401544 1576737 2102316 2153592 2452702 3153474 3679053 4204632 4905404 6306948 7358106 9810808 11037159 12613896 14716212 22074318 29432424 44148636 88297272