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275294464 = 28172612
BaseRepresentation
bin10000011010001…
…010100100000000
3201012000102000021
4100122022210000
51030433410324
643152303224
76551651524
oct2032124400
9635012007
10275294464
1113143a895
1278241b14
134505a943
14287c1d84
151927dae4
hex1068a900

275294464 has 81 divisors (see below), whose sum is σ = 593465691. Its totient is φ = 127426560.

The previous prime is 275294441. The next prime is 275294473. The reversal of 275294464 is 464492572.

The square root of 275294464 is 16592.

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

It can be written as a sum of positive squares in 4 ways, for example, as 25401600 + 249892864 = 5040^2 + 15808^2 .

It is a Duffinian number.

Its product of digits (483840) is a multiple of the sum of its prime divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 275294464.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4512994 + ... + 4513054.

Almost surely, 2275294464 is an apocalyptic number.

275294464 is the 16592-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 275294464

275294464 is an abundant number, since it is smaller than the sum of its proper divisors (318171227).

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

275294464 is an frugal number, since it uses more digits than its factorization.

275294464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 80 counting only the distinct ones).

The product of its digits is 483840, while the sum is 43.

The cubic root of 275294464 is about 650.5277481205.

The spelling of 275294464 in words is "two hundred seventy-five million, two hundred ninety-four thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 17 32 34 61 64 68 122 128 136 244 256 272 289 488 544 578 976 1037 1088 1156 1952 2074 2176 2312 3721 3904 4148 4352 4624 7442 7808 8296 9248 14884 15616 16592 17629 18496 29768 33184 35258 36992 59536 63257 66368 70516 73984 119072 126514 132736 141032 238144 253028 265472 282064 476288 506056 564128 952576 1012112 1075369 1128256 2024224 2150738 2256512 4048448 4301476 4513024 8096896 8602952 16193792 17205904 34411808 68823616 137647232 275294464