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97530496 = 2771719337
BaseRepresentation
bin1011101000000…
…11001010000000
320210112001200121
411310003022000
5144431433441
613402230024
72262665320
oct564031200
9223461617
1097530496
1150065118
12287b5314
131728a76b
14cd4b280
158867dd1
hex5d03280

97530496 has 128 divisors (see below), whose sum is σ = 248227200. Its totient is φ = 37158912.

The previous prime is 97530491. The next prime is 97530527. The reversal of 97530496 is 69403579.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97530491) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 289240 + ... + 289576.

It is an arithmetic number, because the mean of its divisors is an integer number (1939275).

Almost surely, 297530496 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 97530496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124113600).

97530496 is an abundant number, since it is smaller than the sum of its proper divisors (150696704).

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

97530496 is a wasteful number, since it uses less digits than its factorization.

97530496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 43.

The square root of 97530496 is about 9875.7529333211. The cubic root of 97530496 is about 460.3061855653.

The spelling of 97530496 in words is "ninety-seven million, five hundred thirty thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 17 19 28 32 34 38 56 64 68 76 112 119 128 133 136 152 224 238 266 272 304 323 337 448 476 532 544 608 646 674 896 952 1064 1088 1216 1292 1348 1904 2128 2176 2261 2359 2432 2584 2696 3808 4256 4522 4718 5168 5392 5729 6403 7616 8512 9044 9436 10336 10784 11458 12806 15232 17024 18088 18872 20672 21568 22916 25612 36176 37744 40103 41344 43136 44821 45832 51224 72352 75488 80206 89642 91664 102448 108851 144704 150976 160412 179284 183328 204896 217702 289408 301952 320824 358568 366656 409792 435404 641648 717136 733312 761957 819584 870808 1283296 1434272 1523914 1741616 2566592 2868544 3047828 3483232 5133184 5737088 6095656 6966464 12191312 13932928 24382624 48765248 97530496