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88101132 = 223723311471
BaseRepresentation
bin1010100000001…
…01000100001100
320010210000000220
411100011010030
5140023214012
612424151340
72116563420
oct520050414
9203700026
1088101132
1145804759
1225608550
1315338862
14b9b4b80
157b0408c
hex540510c

88101132 has 96 divisors (see below), whose sum is σ = 253231104. Its totient is φ = 23284800.

The previous prime is 88101121. The next prime is 88101133. The reversal of 88101132 is 23110188.

It is not an unprimeable number, because it can be changed into a prime (88101133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59157 + ... + 60627.

It is an arithmetic number, because the mean of its divisors is an integer number (2637824).

Almost surely, 288101132 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 88101132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126615552).

88101132 is an abundant number, since it is smaller than the sum of its proper divisors (165129972).

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

88101132 is a wasteful number, since it uses less digits than its factorization.

88101132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1539 (or 1537 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 88101132 is about 9386.2203255624. The cubic root of 88101132 is about 444.9663434546.

The spelling of 88101132 in words is "eighty-eight million, one hundred one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 31 42 46 62 69 84 92 93 124 138 161 186 217 276 322 372 434 483 644 651 713 868 966 1302 1426 1471 1932 2139 2604 2852 2942 4278 4413 4991 5884 8556 8826 9982 10297 14973 17652 19964 20594 29946 30891 33833 41188 45601 59892 61782 67666 91202 101499 123564 135332 136803 182404 202998 236831 273606 319207 405996 473662 547212 638414 710493 947324 957621 1048823 1276828 1420986 1915242 2097646 2841972 3146469 3830484 4195292 6292938 7341761 12585876 14683522 22025283 29367044 44050566 88101132