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89242272 = 2532744267
BaseRepresentation
bin1010101000110…
…11101010100000
320012220222101100
411110123222200
5140321223042
612504434400
72132355360
oct524335240
9205828340
1089242272
1146414049
1225a78a00
13156480a2
14bbd09a0
157c7c24c
hex551baa0

89242272 has 72 divisors (see below), whose sum is σ = 290043936. Its totient is φ = 25497216.

The previous prime is 89242253. The next prime is 89242291. The reversal of 89242272 is 27224298.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (89242253) and next prime (89242291).

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×892422722 = 15928366223443968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20118 + ... + 24149.

It is an arithmetic number, because the mean of its divisors is an integer number (4028388).

Almost surely, 289242272 is an apocalyptic number.

It is an amenable number.

89242272 is an abundant number, since it is smaller than the sum of its proper divisors (200801664).

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

89242272 is a wasteful number, since it uses less digits than its factorization.

89242272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44290 (or 44279 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 89242272 is about 9446.8127958587. The cubic root of 89242272 is about 446.8792671247.

The spelling of 89242272 in words is "eighty-nine million, two hundred forty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 44267 88534 132801 177068 265602 309869 354136 398403 531204 619738 708272 796806 929607 1062408 1239476 1416544 1593612 1859214 2124816 2478952 2788821 3187224 3718428 4249632 4957904 5577642 6374448 7436856 9915808 11155284 12748896 14873712 22310568 29747424 44621136 89242272