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271472152 = 23731941127
BaseRepresentation
bin10000001011100…
…101011000011000
3200220211012210011
4100023211120120
51023444102102
642534331304
76504322000
oct2013453030
9626735704
10271472152
1112a26a056
1276ab9b34
134431cc13
14280a9000
1518c762d7
hex102e5618

271472152 has 128 divisors (see below), whose sum is σ = 645120000. Its totient is φ = 106686720.

The previous prime is 271472147. The next prime is 271472183. The reversal of 271472152 is 251274172.

271472152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2714721522 = 147394258623022208, which contains 22 as substring.

Its product of digits (7840) is a multiple of the sum of its prime divisors (196).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2137513 + ... + 2137639.

It is an arithmetic number, because the mean of its divisors is an integer number (5040000).

Almost surely, 2271472152 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 271472152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322560000).

271472152 is an abundant number, since it is smaller than the sum of its proper divisors (373647848).

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

271472152 is a wasteful number, since it uses less digits than its factorization.

271472152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 196 counting only the distinct ones).

The product of its digits is 7840, while the sum is 31.

The square root of 271472152 is about 16476.4119880513. The cubic root of 271472152 is about 647.5029656548.

The spelling of 271472152 in words is "two hundred seventy-one million, four hundred seventy-two thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 19 28 38 41 49 56 76 82 98 127 133 152 164 196 254 266 287 328 343 392 508 532 574 686 779 889 931 1016 1064 1148 1372 1558 1778 1862 2009 2296 2413 2744 3116 3556 3724 4018 4826 5207 5453 6223 6232 6517 7112 7448 8036 9652 10414 10906 12446 13034 14063 16072 16891 19304 20828 21812 24892 26068 28126 33782 36449 38171 41656 43561 43624 49784 52136 56252 67564 72898 76342 87122 98933 112504 118237 135128 145796 152684 174244 197866 236474 255143 267197 291592 305368 348488 395732 472948 510286 534394 692531 791464 827659 945896 1020572 1068788 1385062 1655318 1786001 2041144 2137576 2770124 3310636 3572002 4847717 5540248 6621272 7144004 9695434 14288008 19390868 33934019 38781736 67868038 135736076 271472152