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88142964 = 22372132887
BaseRepresentation
bin1010100000011…
…11010001110100
320010212010102020
411100033101310
5140031033324
612425113140
72120126400
oct520172164
9203763366
1088142964
1145833128
12256287b0
1315351900
14b9c6100
157b11679
hex540f474

88142964 has 108 divisors (see below), whose sum is σ = 259356384. Its totient is φ = 23220288.

The previous prime is 88142963. The next prime is 88143037. The reversal of 88142964 is 46924188.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88142963) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 98929 + ... + 99815.

It is an arithmetic number, because the mean of its divisors is an integer number (2401448).

Almost surely, 288142964 is an apocalyptic number.

88142964 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88142964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129678192).

88142964 is an abundant number, since it is smaller than the sum of its proper divisors (171213420).

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

88142964 is a wasteful number, since it uses less digits than its factorization.

88142964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934 (or 912 counting only the distinct ones).

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

The square root of 88142964 is about 9388.4484341131. The cubic root of 88142964 is about 445.0367583153.

The spelling of 88142964 in words is "eighty-eight million, one hundred forty-two thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 147 156 169 182 196 273 294 338 364 507 546 588 637 676 887 1014 1092 1183 1274 1774 1911 2028 2366 2548 2661 3548 3549 3822 4732 5322 6209 7098 7644 8281 10644 11531 12418 14196 16562 18627 23062 24836 24843 33124 34593 37254 43463 46124 49686 69186 74508 80717 86926 99372 130389 138372 149903 161434 173852 242151 260778 299806 322868 449709 484302 521556 565019 599612 899418 968604 1049321 1130038 1695057 1798836 2098642 2260076 3147963 3390114 4197284 6295926 6780228 7345247 12591852 14690494 22035741 29380988 44071482 88142964