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88324096 = 211761101
BaseRepresentation
bin1010100001110…
…11100000000000
320011012022212211
411100323200000
5140102332341
612433031504
72121512440
oct520734000
9204168784
1088324096
1145947223
12256b5594
13153b61a3
14ba32120
157b4a181
hex543b800

88324096 has 96 divisors (see below), whose sum is σ = 207174240. Its totient is φ = 36864000.

The previous prime is 88324091. The next prime is 88324097. The reversal of 88324096 is 69042388.

It is a super-2 number, since 2×883240962 = 15602291868434432, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88324091) 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, 874446 + ... + 874546.

It is an arithmetic number, because the mean of its divisors is an integer number (2158065).

Almost surely, 288324096 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 88324096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103587120).

88324096 is an abundant number, since it is smaller than the sum of its proper divisors (118850144).

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

88324096 is a wasteful number, since it uses less digits than its factorization.

88324096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The square root of 88324096 is about 9398.0900187219. The cubic root of 88324096 is about 445.3413969002.

The spelling of 88324096 in words is "eighty-eight million, three hundred twenty-four thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 61 64 101 112 122 128 202 224 244 256 404 427 448 488 512 707 808 854 896 976 1024 1414 1616 1708 1792 1952 2048 2828 3232 3416 3584 3904 5656 6161 6464 6832 7168 7808 11312 12322 12928 13664 14336 15616 22624 24644 25856 27328 31232 43127 45248 49288 51712 54656 62464 86254 90496 98576 103424 109312 124928 172508 180992 197152 206848 218624 345016 361984 394304 437248 690032 723968 788608 874496 1380064 1447936 1577216 2760128 3154432 5520256 6308864 11040512 12617728 22081024 44162048 88324096