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88993296 = 2433729429
BaseRepresentation
bin1010100110111…
…10111000010000
320012110022212000
411103132320100
5140240241141
612455234000
72130300450
oct523367020
9205408760
1088993296
1146263a87
1225978900
131558b972
14bb67d60
157c2d5b6
hex54dee10

88993296 has 80 divisors (see below), whose sum is σ = 291945600. Its totient is φ = 25425792.

The previous prime is 88993271. The next prime is 88993301. The reversal of 88993296 is 69239988.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11691 + ... + 17738.

It is an arithmetic number, because the mean of its divisors is an integer number (3649320).

Almost surely, 288993296 is an apocalyptic number.

It is an amenable number.

88993296 is an abundant number, since it is smaller than the sum of its proper divisors (202952304).

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

88993296 is a wasteful number, since it uses less digits than its factorization.

88993296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29453 (or 29441 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 54.

The square root of 88993296 is about 9433.6258140759. The cubic root of 88993296 is about 446.4632989207.

The spelling of 88993296 in words is "eighty-eight million, nine hundred ninety-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 29429 58858 88287 117716 176574 206003 235432 264861 353148 412006 470864 529722 618009 706296 794583 824012 1059444 1236018 1412592 1589166 1648024 1854027 2118888 2472036 3178332 3296048 3708054 4237776 4944072 5562081 6356664 7416108 9888144 11124162 12713328 14832216 22248324 29664432 44496648 88993296