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268500996 = 223227312
BaseRepresentation
bin10000000000010…
…000000000000100
3200201020021010100
4100000100000010
51022214012441
642350524100
76440135511
oct2000200004
9621207110
10268500996
1112861a855
1275b06630
134381c73a
1427934308
151888acb6
hex10010004

268500996 has 27 divisors (see below), whose sum is σ = 678959463. Its totient is φ = 89467560.

The previous prime is 268500977. The next prime is 268501003. The reversal of 268500996 is 699005862.

The square root of 268500996 is 16386.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 96951 + ... + 99681.

Almost surely, 2268500996 is an apocalyptic number.

268500996 is the 16386-th square number.

It is an amenable number.

268500996 is an abundant number, since it is smaller than the sum of its proper divisors (410458467).

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

268500996 is an equidigital number, since it uses as much as digits as its factorization.

268500996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5472 (or 2736 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The cubic root of 268500996 is about 645.1320731886.

It can be divided in two parts, 268 and 500996, that added together give a square (501264 = 7082).

The spelling of 268500996 in words is "two hundred sixty-eight million, five hundred thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 2731 5462 8193 10924 16386 24579 32772 49158 98316 7458361 14916722 22375083 29833444 44750166 67125249 89500332 134250498 268500996