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3482475472 = 24725979953
BaseRepresentation
bin1100111110010010…
…0101101111010000
322222200220002021001
43033210211233100
524113003203342
61333321311344
7152204360500
oct31744455720
98880802231
103482475472
111527848403
12812335554
13436641b98
14250719a00
15155ae98b7
hexcf925bd0

3482475472 has 120 divisors (see below), whose sum is σ = 8091446400. Its totient is φ = 1447100928.

The previous prime is 3482475463. The next prime is 3482475541. The reversal of 3482475472 is 2745742843.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3653748 + ... + 3654700.

It is an arithmetic number, because the mean of its divisors is an integer number (67428720).

Almost surely, 23482475472 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 3482475472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4045723200).

3482475472 is an abundant number, since it is smaller than the sum of its proper divisors (4608970928).

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

3482475472 is a wasteful number, since it uses less digits than its factorization.

3482475472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113 (or 1100 counting only the distinct ones).

The product of its digits is 1505280, while the sum is 46.

The square root of 3482475472 is about 59012.5026752806. The cubic root of 3482475472 is about 1515.7562072726.

The spelling of 3482475472 in words is "three billion, four hundred eighty-two million, four hundred seventy-five thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 49 56 59 79 98 112 118 158 196 236 316 392 413 472 553 632 784 826 944 953 1106 1264 1652 1906 2212 2891 3304 3812 3871 4424 4661 5782 6608 6671 7624 7742 8848 9322 11564 13342 15248 15484 18644 23128 26684 30968 32627 37288 46256 46697 53368 56227 61936 65254 74576 75287 93394 106736 112454 130508 150574 186788 224908 228389 261016 301148 373576 393589 449816 456778 522032 527009 602296 747152 787178 899632 913556 1054018 1204592 1574356 1827112 2108036 2755123 3148712 3654224 3689063 4216072 4441933 5510246 6297424 7378126 8432144 8883866 11020492 14756252 17767732 22040984 29512504 31093531 35535464 44081968 59025008 62187062 71070928 124374124 217654717 248748248 435309434 497496496 870618868 1741237736 3482475472