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96988464 = 24321935449
BaseRepresentation
bin1011100011111…
…10110100110000
320202111112011100
411301332310300
5144312112324
613342444400
72255250126
oct561766460
9222445140
1096988464
114a824961
1228593700
131712ab31
14cc49916
1587ac4c9
hex5c7ed30

96988464 has 60 divisors (see below), whose sum is σ = 285727000. Its totient is φ = 30627072.

The previous prime is 96988439. The next prime is 96988469. The reversal of 96988464 is 46488969.

96988464 is a `hidden beast` number, since 96 + 98 + 8 + 464 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 96988464.

It is not an unprimeable number, because it can be changed into a prime (96988469) 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, 14989 + ... + 20460.

Almost surely, 296988464 is an apocalyptic number.

It is an amenable number.

96988464 is an abundant number, since it is smaller than the sum of its proper divisors (188738536).

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

96988464 is a wasteful number, since it uses less digits than its factorization.

96988464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35482 (or 35473 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 96988464 is about 9848.2721327144. The cubic root of 96988464 is about 459.4518739043.

The spelling of 96988464 in words is "ninety-six million, nine hundred eighty-eight thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 912 1368 2736 35449 70898 106347 141796 212694 283592 319041 425388 567184 638082 673531 850776 1276164 1347062 1701552 2020593 2552328 2694124 4041186 5104656 5388248 6061779 8082372 10776496 12123558 16164744 24247116 32329488 48494232 96988464