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88070272 = 272332953
BaseRepresentation
bin1010011111111…
…01100010000000
320010201102200221
411033331202000
5140021222042
612423352424
72116404433
oct517754200
9203642627
1088070272
1145793554
12255b2714
13153277b4
14b9a781a
157ae9d67
hex53fd880

88070272 has 32 divisors (see below), whose sum is σ = 176265180. Its totient is φ = 43831296.

The previous prime is 88070267. The next prime is 88070273. The reversal of 88070272 is 27207088.

It can be written as a sum of positive squares in 2 ways, for example, as 88059456 + 10816 = 9384^2 + 104^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (88070273) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 28348 + ... + 31300.

Almost surely, 288070272 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 88070272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88132590).

88070272 is an abundant number, since it is smaller than the sum of its proper divisors (88194908).

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

88070272 is a wasteful number, since it uses less digits than its factorization.

88070272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3200 (or 3188 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 34.

The square root of 88070272 is about 9384.5762823902. The cubic root of 88070272 is about 444.9143832256.

The spelling of 88070272 in words is "eighty-eight million, seventy thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 128 233 466 932 1864 2953 3728 5906 7456 11812 14912 23624 29824 47248 94496 188992 377984 688049 1376098 2752196 5504392 11008784 22017568 44035136 88070272