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97273728 = 2732174967
BaseRepresentation
bin1011100110001…
…00011110000000
320210001000110200
411303010132000
5144400224403
613352525200
72260545606
oct563043600
9223030420
1097273728
114a9aa212
12286b0800
13171ca926
14ccc1876
158816ca3
hex5cc4780

97273728 has 96 divisors (see below), whose sum is σ = 296440560. Its totient is φ = 30511104.

The previous prime is 97273681. The next prime is 97273769. The reversal of 97273728 is 82737279.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17101 + ... + 22067.

Almost surely, 297273728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97273728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148220280).

97273728 is an abundant number, since it is smaller than the sum of its proper divisors (199166832).

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

97273728 is a wasteful number, since it uses less digits than its factorization.

97273728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5004 (or 4989 counting only the distinct ones).

The product of its digits is 296352, while the sum is 45.

The square root of 97273728 is about 9862.7444456399. The cubic root of 97273728 is about 459.9018820345.

The spelling of 97273728 in words is "ninety-seven million, two hundred seventy-three thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 272 288 306 384 408 544 576 612 816 1088 1152 1224 1632 2176 2448 3264 4896 4967 6528 9792 9934 14901 19584 19868 29802 39736 44703 59604 79472 84439 89406 119208 158944 168878 178812 238416 253317 317888 337756 357624 476832 506634 635776 675512 715248 759951 953664 1013268 1351024 1430496 1519902 1907328 2026536 2702048 2860992 3039804 4053072 5404096 5721984 6079608 8106144 10808192 12159216 16212288 24318432 32424576 48636864 97273728