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46082952 = 23331911117
BaseRepresentation
bin1010111111001…
…0101110001000
310012201020221000
42233302232020
543244123302
64323415000
71066461426
oct257625610
9105636830
1046082952
1124015893
1213524460
139716526
146198116
1540a431c
hex2bf2b88

46082952 has 64 divisors (see below), whose sum is σ = 128793600. Its totient is φ = 15266880.

The previous prime is 46082879. The next prime is 46082963. The reversal of 46082952 is 25928064.

It is a happy number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40698 + ... + 41814.

It is an arithmetic number, because the mean of its divisors is an integer number (2012400).

Almost surely, 246082952 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 46082952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64396800).

46082952 is an abundant number, since it is smaller than the sum of its proper divisors (82710648).

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

46082952 is a wasteful number, since it uses less digits than its factorization.

46082952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1323 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 46082952 is about 6788.4425312438. The cubic root of 46082952 is about 358.5200352942.

The spelling of 46082952 in words is "forty-six million, eighty-two thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 191 216 382 573 764 1117 1146 1528 1719 2234 2292 3351 3438 4468 4584 5157 6702 6876 8936 10053 10314 13404 13752 20106 20628 26808 30159 40212 41256 60318 80424 120636 213347 241272 426694 640041 853388 1280082 1706776 1920123 2560164 3840246 5120328 5760369 7680492 11520738 15360984 23041476 46082952