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272107472 = 24713375051
BaseRepresentation
bin10000001110000…
…000011111010000
3200222000111021112
4100032000133100
51024124414342
643000112452
76512606150
oct2016003720
9628014245
10272107472
1112a66340a
1277165728
13444b3150
14281d2760
1518d4e682
hex103807d0

272107472 has 80 divisors (see below), whose sum is σ = 666540672. Its totient is φ = 104716800.

The previous prime is 272107463. The next prime is 272107477. The reversal of 272107472 is 274701272.

It is a happy number.

272107472 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272107477) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51347 + ... + 56397.

Almost surely, 2272107472 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 272107472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333270336).

272107472 is an abundant number, since it is smaller than the sum of its proper divisors (394433200).

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

272107472 is a wasteful number, since it uses less digits than its factorization.

272107472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5116 (or 5110 counting only the distinct ones).

The product of its (nonzero) digits is 10976, while the sum is 32.

The square root of 272107472 is about 16495.6804042755. The cubic root of 272107472 is about 648.0076842050.

The spelling of 272107472 in words is "two hundred seventy-two million, one hundred seven thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 37 52 56 74 91 104 112 148 182 208 259 296 364 481 518 592 728 962 1036 1456 1924 2072 3367 3848 4144 5051 6734 7696 10102 13468 20204 26936 35357 40408 53872 65663 70714 80816 131326 141428 186887 262652 282856 373774 459641 525304 565712 747548 919282 1050608 1308209 1495096 1838564 2429531 2616418 2990192 3677128 4859062 5232836 7354256 9718124 10465672 17006717 19436248 20931344 34013434 38872496 68026868 136053736 272107472