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72998496 = 253428163
BaseRepresentation
bin1000101100111…
…01111001100000
312002100201010000
410112131321200
5122141422441
611124340000
71544322414
oct426357140
9162321100
1072998496
113822993a
1220544600
131217b59c
1499a2d44
15661e2b6
hex459de60

72998496 has 60 divisors (see below), whose sum is σ = 214694172. Its totient is φ = 24331968.

The previous prime is 72998483. The next prime is 72998501. The reversal of 72998496 is 69489927.

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

It is a congruent number.

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 9 ways as a sum of consecutive naturals, for example, 11490 + ... + 16673.

Almost surely, 272998496 is an apocalyptic number.

It is an amenable number.

72998496 is an abundant number, since it is smaller than the sum of its proper divisors (141695676).

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

72998496 is a wasteful number, since it uses less digits than its factorization.

72998496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28185 (or 28168 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The square root of 72998496 is about 8543.9157299215. The cubic root of 72998496 is about 417.9310494238.

It can be divided in two parts, 729 and 98496, that added together give a square (99225 = 3152).

The spelling of 72998496 in words is "seventy-two million, nine hundred ninety-eight thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 28163 56326 84489 112652 168978 225304 253467 337956 450608 506934 675912 760401 901216 1013868 1351824 1520802 2027736 2281203 2703648 3041604 4055472 4562406 6083208 8110944 9124812 12166416 18249624 24332832 36499248 72998496