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88142496 = 2531370627
BaseRepresentation
bin1010100000011…
…11001010100000
320010212002202220
411100033022200
5140031024441
612425111040
72120125131
oct520171240
9203762686
1088142496
1145832842
1225628480
1315351630
14b9c5c88
157b11466
hex540f2a0

88142496 has 48 divisors (see below), whose sum is σ = 249175584. Its totient is φ = 27120384.

The previous prime is 88142491. The next prime is 88142557. The reversal of 88142496 is 69424188.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×881424962 = 15538199202220032, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (88142491) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34066 + ... + 36561.

It is an arithmetic number, because the mean of its divisors is an integer number (5191158).

Almost surely, 288142496 is an apocalyptic number.

It is an amenable number.

88142496 is an abundant number, since it is smaller than the sum of its proper divisors (161033088).

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

88142496 is a wasteful number, since it uses less digits than its factorization.

88142496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70653 (or 70645 counting only the distinct ones).

The product of its digits is 110592, while the sum is 42.

The square root of 88142496 is about 9388.4235098338. The cubic root of 88142496 is about 445.0359706647.

The spelling of 88142496 in words is "eighty-eight million, one hundred forty-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 70627 141254 211881 282508 423762 565016 847524 918151 1130032 1695048 1836302 2260064 2754453 3390096 3672604 5508906 6780192 7345208 11017812 14690416 22035624 29380832 44071248 88142496