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272057472 = 27321391699
BaseRepresentation
bin10000001101110…
…100010010000000
3200221220221200200
4100031310102000
51024121314342
642555045200
76512310321
oct2015642200
9627827620
10272057472
1112a629895
1277140800
134449646b
14281bc448
1518d3e94c
hex10374480

272057472 has 96 divisors (see below), whose sum is σ = 788970000. Its totient is φ = 89980416.

The previous prime is 272057459. The next prime is 272057507. The reversal of 272057472 is 274750272.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 159279 + ... + 160977.

Almost surely, 2272057472 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 272057472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394485000).

272057472 is an abundant number, since it is smaller than the sum of its proper divisors (516912528).

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

272057472 is a wasteful number, since it uses less digits than its factorization.

272057472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1858 (or 1843 counting only the distinct ones).

The product of its (nonzero) digits is 54880, while the sum is 36.

The square root of 272057472 is about 16494.1647863722. The cubic root of 272057472 is about 647.9679911029.

The spelling of 272057472 in words is "two hundred seventy-two million, fifty-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 139 144 192 278 288 384 417 556 576 834 1112 1152 1251 1668 1699 2224 2502 3336 3398 4448 5004 5097 6672 6796 8896 10008 10194 13344 13592 15291 17792 20016 20388 26688 27184 30582 40032 40776 53376 54368 61164 80064 81552 108736 122328 160128 163104 217472 236161 244656 326208 472322 489312 652416 708483 944644 978624 1416966 1889288 1957248 2125449 2833932 3778576 4250898 5667864 7557152 8501796 11335728 15114304 17003592 22671456 30228608 34007184 45342912 68014368 90685824 136028736 272057472