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149456052 = 223219474649
BaseRepresentation
bin10001110100010…
…00010010110100
3101102020011011100
420322020102310
5301230043202
622455210100
73463232634
oct1072102264
9342204140
10149456052
11774005a9
1242076930
1324c6b445
1415bc66c4
15d1c341c
hex8e884b4

149456052 has 72 divisors (see below), whose sum is σ = 406224000. Its totient is φ = 46182528.

The previous prime is 149456017. The next prime is 149456057. The reversal of 149456052 is 250654941.

149456052 is a `hidden beast` number, since 1 + 4 + 9 + 45 + 605 + 2 = 666.

It is a super-2 number, since 2×1494560522 = 44674222958853408, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 149455998 and 149456016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149456057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29824 + ... + 34472.

It is an arithmetic number, because the mean of its divisors is an integer number (5642000).

Almost surely, 2149456052 is an apocalyptic number.

149456052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149456052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203112000).

149456052 is an abundant number, since it is smaller than the sum of its proper divisors (256767948).

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

149456052 is a wasteful number, since it uses less digits than its factorization.

149456052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4725 (or 4720 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 149456052 is about 12225.2219611752. The cubic root of 149456052 is about 530.6862500103.

The spelling of 149456052 in words is "one hundred forty-nine million, four hundred fifty-six thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 47 57 76 94 114 141 171 188 228 282 342 423 564 684 846 893 1692 1786 2679 3572 4649 5358 8037 9298 10716 13947 16074 18596 27894 32148 41841 55788 83682 88331 167364 176662 218503 264993 353324 437006 529986 655509 794979 874012 1059972 1311018 1589958 1966527 2622036 3179916 3933054 4151557 7866108 8303114 12454671 16606228 24909342 37364013 49818684 74728026 149456052