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46113144 = 23371124953
BaseRepresentation
bin1010111111101…
…0000101111000
310012202210100020
42233322011320
543301110034
64324210440
71066645440
oct257720570
9105683306
1046113144
1124036540
1213539a20
1397271ac
1461a5120
1540ad249
hex2bfa178

46113144 has 64 divisors (see below), whose sum is σ = 143735040. Its totient is φ = 11976960.

The previous prime is 46113143. The next prime is 46113173. The reversal of 46113144 is 44131164.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46113143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10629 + ... + 14324.

It is an arithmetic number, because the mean of its divisors is an integer number (2245860).

Almost surely, 246113144 is an apocalyptic number.

46113144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46113144 is an abundant number, since it is smaller than the sum of its proper divisors (97621896).

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

46113144 is a wasteful number, since it uses less digits than its factorization.

46113144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24980 (or 24976 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 46113144 is about 6790.6659467242. The cubic root of 46113144 is about 358.5983149570.

The spelling of 46113144 in words is "forty-six million, one hundred thirteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 616 924 1848 24953 49906 74859 99812 149718 174671 199624 274483 299436 349342 524013 548966 598872 698684 823449 1048026 1097932 1397368 1646898 1921381 2096052 2195864 3293796 3842762 4192104 5764143 6587592 7685524 11528286 15371048 23056572 46113144