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272152656 = 24331971467
BaseRepresentation
bin10000001110001…
…011100001010000
3200222002210021000
4100032023201100
51024132341111
643001102000
76513154656
oct2016134120
9628083230
10272152656
1112a694356
1277187900
13444ca899
1428204dd6
1518d5cc56
hex1038b850

272152656 has 160 divisors (see below), whose sum is σ = 835660800. Its totient is φ = 84551040.

The previous prime is 272152619. The next prime is 272152669. The reversal of 272152656 is 656251272.

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

It is a self number, because there is not a number n which added to its sum of digits gives 272152656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 582535 + ... + 583001.

It is an arithmetic number, because the mean of its divisors is an integer number (5222880).

Almost surely, 2272152656 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 272152656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417830400).

272152656 is an abundant number, since it is smaller than the sum of its proper divisors (563508144).

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

272152656 is a wasteful number, since it uses less digits than its factorization.

272152656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 562 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 272152656 is about 16497.0499180914. The cubic root of 272152656 is about 648.0435498852.

The spelling of 272152656 in words is "two hundred seventy-two million, one hundred fifty-two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 71 72 76 108 114 142 144 152 171 213 216 228 284 304 342 426 432 456 467 513 568 639 684 852 912 934 1026 1136 1278 1349 1368 1401 1704 1868 1917 2052 2556 2698 2736 2802 3408 3736 3834 4047 4104 4203 5112 5396 5604 7472 7668 8094 8208 8406 8873 10224 10792 11208 12141 12609 15336 16188 16812 17746 21584 22416 24282 25218 26619 30672 32376 33157 33624 35492 36423 48564 50436 53238 64752 66314 67248 70984 72846 79857 97128 99471 100872 106476 132628 141968 145692 159714 194256 198942 201744 212952 239571 265256 291384 298413 319428 397884 425904 479142 530512 582768 596826 629983 638856 795768 895239 958284 1193652 1259966 1277712 1591536 1790478 1889949 1916568 2387304 2519932 3580956 3779898 3833136 4774608 5039864 5669847 7161912 7559796 10079728 11339694 14323824 15119592 17009541 22679388 30239184 34019082 45358776 68038164 90717552 136076328 272152656