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149674752 = 2832167389
BaseRepresentation
bin10001110101111…
…01101100000000
3101102122021011100
420322331230000
5301304043002
622504014400
73465133353
oct1072755400
9342567140
10149674752
117753a947
1242161400
1325016b56
1415c4229a
15d21811c
hex8ebdb00

149674752 has 108 divisors (see below), whose sum is σ = 435249360. Its totient is φ = 49465344.

The previous prime is 149674739. The next prime is 149674757. The reversal of 149674752 is 257476941.

It is a junction number, because it is equal to n+sod(n) for n = 149674698 and 149674707.

It is not an unprimeable number, because it can be changed into a prime (149674757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 384574 + ... + 384962.

Almost surely, 2149674752 is an apocalyptic number.

149674752 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 149674752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217624680).

149674752 is an abundant number, since it is smaller than the sum of its proper divisors (285574608).

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

149674752 is a wasteful number, since it uses less digits than its factorization.

149674752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 561 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 149674752 is about 12234.1633142606. The cubic root of 149674752 is about 530.9449760512.

It can be divided in two parts, 149674 and 752, that added together give a triangular number (150426 = T548).

The spelling of 149674752 in words is "one hundred forty-nine million, six hundred seventy-four thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 167 192 256 288 334 384 389 501 576 668 768 778 1002 1152 1167 1336 1503 1556 2004 2304 2334 2672 3006 3112 3501 4008 4668 5344 6012 6224 7002 8016 9336 10688 12024 12448 14004 16032 18672 21376 24048 24896 28008 32064 37344 42752 48096 49792 56016 64128 64963 74688 96192 99584 112032 128256 129926 149376 192384 194889 224064 259852 298752 384768 389778 448128 519704 584667 779556 896256 1039408 1169334 1559112 2078816 2338668 3118224 4157632 4677336 6236448 8315264 9354672 12472896 16630528 18709344 24945792 37418688 49891584 74837376 149674752