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96504576 = 283729619
BaseRepresentation
bin1011100000010…
…00101100000000
320201120221101120
411300020230000
5144201121301
613324232240
72251163310
oct560105400
9221527346
1096504576
114a524353
122839b680
1316cbb7cc
14cb61440
158713e36
hex5c08b00

96504576 has 144 divisors (see below), whose sum is σ = 304147200. Its totient is φ = 26578944.

The previous prime is 96504533. The next prime is 96504593. The reversal of 96504576 is 67540569.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155595 + ... + 156213.

Almost surely, 296504576 is an apocalyptic number.

96504576 is a gapful number since it is divisible by the number (96) 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 96504576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152073600).

96504576 is an abundant number, since it is smaller than the sum of its proper divisors (207642624).

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

96504576 is a wasteful number, since it uses less digits than its factorization.

96504576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 42.

The square root of 96504576 is about 9823.6742617007. The cubic root of 96504576 is about 458.6865113702.

The spelling of 96504576 in words is "ninety-six million, five hundred four thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 64 84 87 96 112 116 128 168 174 192 203 224 232 256 336 348 384 406 448 464 609 619 672 696 768 812 896 928 1218 1238 1344 1392 1624 1792 1856 1857 2436 2476 2688 2784 3248 3712 3714 4333 4872 4952 5376 5568 6496 7424 7428 8666 9744 9904 11136 12992 12999 14856 17332 17951 19488 19808 22272 25984 25998 29712 34664 35902 38976 39616 51968 51996 53853 59424 69328 71804 77952 79232 103992 107706 118848 125657 138656 143608 155904 158464 207984 215412 237696 251314 277312 287216 376971 415968 430824 475392 502628 554624 574432 753942 831936 861648 1005256 1109248 1148864 1507884 1663872 1723296 2010512 2297728 3015768 3327744 3446592 4021024 4595456 6031536 6893184 8042048 12063072 13786368 16084096 24126144 32168192 48252288 96504576