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89744640 = 283523371
BaseRepresentation
bin1010101100101…
…10010100000000
320020212111111120
411112112110000
5140433312030
612523312240
72136550116
oct526262400
9206774446
1089744640
1146727527
122607b680
131579294b
14bcc1ab6
157d2b010
hex5596500

89744640 has 72 divisors (see below), whose sum is σ = 286634208. Its totient is φ = 23930880.

The previous prime is 89744617. The next prime is 89744701. The reversal of 89744640 is 4644798.

It is a junction number, because it is equal to n+sod(n) for n = 89744592 and 89744601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7846 + ... + 15525.

Almost surely, 289744640 is an apocalyptic number.

89744640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

89744640 is an abundant number, since it is smaller than the sum of its proper divisors (196889568).

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

89744640 is a wasteful number, since it uses less digits than its factorization.

89744640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23395 (or 23381 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 89744640 is about 9473.3647665441. The cubic root of 89744640 is about 447.7162318607.

The spelling of 89744640 in words is "eighty-nine million, seven hundred forty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3840 23371 46742 70113 93484 116855 140226 186968 233710 280452 350565 373936 467420 560904 701130 747872 934840 1121808 1402260 1495744 1869680 2243616 2804520 2991488 3739360 4487232 5609040 5982976 7478720 8974464 11218080 14957440 17948928 22436160 29914880 44872320 89744640