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272055616 = 2672632309
BaseRepresentation
bin10000001101110…
…011110101000000
3200221220212010221
4100031303311000
51024121234431
642555032424
76512302030
oct2015636500
9627825127
10272055616
1112a628458
127713b714
1344495671
14281bb8c0
1518d3e111
hex10373d40

272055616 has 56 divisors (see below), whose sum is σ = 619597440. Its totient is φ = 116101632.

The previous prime is 272055613. The next prime is 272055631. The reversal of 272055616 is 616550272.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-4 number, since 4×2720556164 (a number of 35 digits) contains 4444 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272055611) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116670 + ... + 118978.

It is an arithmetic number, because the mean of its divisors is an integer number (11064240).

Almost surely, 2272055616 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 272055616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309798720).

272055616 is an abundant number, since it is smaller than the sum of its proper divisors (347541824).

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

272055616 is a wasteful number, since it uses less digits than its factorization.

272055616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2591 (or 2581 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 34.

The square root of 272055616 is about 16494.1085239548. The cubic root of 272055616 is about 647.9665176014.

The spelling of 272055616 in words is "two hundred seventy-two million, fifty-five thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 263 448 526 1052 1841 2104 2309 3682 4208 4618 7364 8416 9236 14728 16163 16832 18472 29456 32326 36944 58912 64652 73888 117824 129304 147776 258608 517216 607267 1034432 1214534 2429068 4250869 4858136 8501738 9716272 17003476 19432544 34006952 38865088 68013904 136027808 272055616