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88189056 = 2732372069
BaseRepresentation
bin1010100000110…
…10100010000000
320010221110122100
411100122202000
5140034022211
612430110400
72120410644
oct520324200
9203843570
1088189056
114586481a
122564b400
1315369897
14b9d8c24
157b20156
hex541a880

88189056 has 96 divisors (see below), whose sum is σ = 260757900. Its totient is φ = 28588032.

The previous prime is 88189027. The next prime is 88189067. The reversal of 88189056 is 65098188.

It can be written as a sum of positive squares in 2 ways, for example, as 88059456 + 129600 = 9384^2 + 360^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×881890562 = 15554619196342272, which contains 22 as substring.

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, 41590 + ... + 43658.

Almost surely, 288189056 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 88189056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130378950).

88189056 is an abundant number, since it is smaller than the sum of its proper divisors (172568844).

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

88189056 is a wasteful number, since it uses less digits than its factorization.

88189056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2126 (or 2111 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The square root of 88189056 is about 9390.9028319965. The cubic root of 88189056 is about 445.1143181448.

The spelling of 88189056 in words is "eighty-eight million, one hundred eighty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 64 72 74 96 111 128 144 148 192 222 288 296 333 384 444 576 592 666 888 1152 1184 1332 1776 2069 2368 2664 3552 4138 4736 5328 6207 7104 8276 10656 12414 14208 16552 18621 21312 24828 33104 37242 42624 49656 66208 74484 76553 99312 132416 148968 153106 198624 229659 264832 297936 306212 397248 459318 595872 612424 688977 794496 918636 1191744 1224848 1377954 1837272 2383488 2449696 2755908 3674544 4899392 5511816 7349088 9798784 11023632 14698176 22047264 29396352 44094528 88189056