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88987392 = 2832132971
BaseRepresentation
bin1010100110111…
…01011100000000
320012110000202100
411103131130000
5140240044032
612455150400
72130244314
oct523353400
9205400670
1088987392
114625a5aa
1225975400
1315589080
14bb65b44
157c2b97c
hex54dd700

88987392 has 108 divisors (see below), whose sum is σ = 276401944. Its totient is φ = 27371520.

The previous prime is 88987337. The next prime is 88987397. The reversal of 88987392 is 29378988.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88987397) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28467 + ... + 31437.

Almost surely, 288987392 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 88987392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138200972).

88987392 is an abundant number, since it is smaller than the sum of its proper divisors (187414552).

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

88987392 is a wasteful number, since it uses less digits than its factorization.

88987392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3006 (or 2989 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The square root of 88987392 is about 9433.3128857258. The cubic root of 88987392 is about 446.4534256017.

It can be divided in two parts, 8898 and 7392, that added together give a triangular number (16290 = T180).

The spelling of 88987392 in words is "eighty-eight million, nine hundred eighty-seven thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 576 624 768 832 936 1152 1248 1664 1872 2304 2496 2971 3328 3744 4992 5942 7488 8913 9984 11884 14976 17826 23768 26739 29952 35652 38623 47536 53478 71304 77246 95072 106956 115869 142608 154492 190144 213912 231738 285216 308984 347607 380288 427824 463476 570432 617968 695214 760576 855648 926952 1140864 1235936 1390428 1711296 1853904 2281728 2471872 2780856 3422592 3707808 4943744 5561712 6845184 7415616 9887488 11123424 14831232 22246848 29662464 44493696 88987392