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46139688 = 23327432129
BaseRepresentation
bin1011000000000…
…0100100101000
310012211010202100
42300000210220
543302432223
64324533400
71100116020
oct260004450
9105733670
1046139688
1124054481
1213551260
1397362ba
1461b0a80
1540b6043
hex2c00928

46139688 has 96 divisors (see below), whose sum is σ = 146203200. Its totient is φ = 12870144.

The previous prime is 46139677. The next prime is 46139693. The reversal of 46139688 is 88693164.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20608 + ... + 22736.

It is an arithmetic number, because the mean of its divisors is an integer number (1522950).

Almost surely, 246139688 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 46139688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73101600).

46139688 is an abundant number, since it is smaller than the sum of its proper divisors (100063512).

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

46139688 is a wasteful number, since it uses less digits than its factorization.

46139688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2191 (or 2184 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 46139688 is about 6792.6201130344. The cubic root of 46139688 is about 358.6671081255.

The spelling of 46139688 in words is "forty-six million, one hundred thirty-nine thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 43 56 63 72 84 86 126 129 168 172 252 258 301 344 387 504 516 602 774 903 1032 1204 1548 1806 2129 2408 2709 3096 3612 4258 5418 6387 7224 8516 10836 12774 14903 17032 19161 21672 25548 29806 38322 44709 51096 59612 76644 89418 91547 119224 134127 153288 178836 183094 268254 274641 357672 366188 536508 549282 640829 732376 823923 1073016 1098564 1281658 1647846 1922487 2197128 2563316 3295692 3844974 5126632 5767461 6591384 7689948 11534922 15379896 23069844 46139688