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46144164 = 223112315199
BaseRepresentation
bin1011000000000…
…1101010100100
310012211100220010
42300001222210
543303103124
64325010220
71100135043
oct260015244
9105740803
1046144164
1124057880
1213553970
139738351
1461b255a
1540b7529
hex2c01aa4

46144164 has 48 divisors (see below), whose sum is σ = 122572800. Its totient is φ = 13374240.

The previous prime is 46144157. The next prime is 46144183.

46144164 is nontrivially palindromic in base 10.

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

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, 4564 + ... + 10635.

It is an arithmetic number, because the mean of its divisors is an integer number (2553600).

Almost surely, 246144164 is an apocalyptic number.

46144164 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46144164 is an abundant number, since it is smaller than the sum of its proper divisors (76428636).

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

46144164 is a wasteful number, since it uses less digits than its factorization.

46144164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15240 (or 15238 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 46144164 is about 6792.9495802633. The cubic root of 46144164 is about 358.6787058204.

It can be divided in two parts, 4614 and 4164, that added together give a palindrome (8778).

The spelling of 46144164 in words is "forty-six million, one hundred forty-four thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 132 138 253 276 506 759 1012 1518 3036 15199 30398 45597 60796 91194 167189 182388 334378 349577 501567 668756 699154 1003134 1048731 1398308 2006268 2097462 3845347 4194924 7690694 11536041 15381388 23072082 46144164