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268992801 = 3272112712
BaseRepresentation
bin10000000010001…
…000000100100001
3200202011020202100
4100002020010201
51022330232201
642405241013
76444254400
oct2002100441
9622136670
10268992801
11128926300
1276103169
134396254c
1427a21637
1518936886
hex10088121

268992801 has 81 divisors (see below), whose sum is σ = 503901489. Its totient is φ = 137768400.

The previous prime is 268992793. The next prime is 268992803. The reversal of 268992801 is 108299862.

The square root of 268992801 is 16401.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 268992801 - 23 = 268992793 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (268992803) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3788596 + ... + 3788666.

Almost surely, 2268992801 is an apocalyptic number.

268992801 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

268992801 is the 16401-st square number.

268992801 is the 8201-st centered octagonal number.

It is an amenable number.

268992801 is a deficient number, since it is larger than the sum of its proper divisors (234908688).

268992801 is a wasteful number, since it uses less digits than its factorization.

268992801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The cubic root of 268992801 is about 645.5257224538.

The spelling of 268992801 in words is "two hundred sixty-eight million, nine hundred ninety-two thousand, eight hundred one".

Divisors: 1 3 7 9 11 21 33 49 63 71 77 99 121 147 213 231 363 441 497 539 639 693 781 847 1089 1491 1617 2343 2541 3479 4473 4851 5041 5467 5929 7029 7623 8591 10437 15123 16401 17787 25773 31311 35287 38269 45369 49203 53361 55451 60137 77319 105861 114807 166353 180411 247009 317583 344421 388157 420959 499059 541233 609961 741027 1164471 1262877 1829883 2223081 2717099 3493413 3788631 4269727 5489649 8151297 12809181 24453891 29888089 38427543 89664267 268992801