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149790452 = 22721922973
BaseRepresentation
bin10001110110110…
…01111011110100
3101102212010212112
420323121323310
5301321243302
622510310152
73466124600
oct1073317364
9342763775
10149790452
1177609869
12421b8358
1325057706
1415c72500
15d23c552
hex8ed9ef4

149790452 has 108 divisors (see below), whose sum is σ = 337482180. Its totient is φ = 57915648.

The previous prime is 149790449. The next prime is 149790461. The reversal of 149790452 is 254097941.

It can be written as a sum of positive squares in 2 ways, for example, as 81793936 + 67996516 = 9044^2 + 8246^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2051888 + ... + 2051960.

It is an arithmetic number, because the mean of its divisors is an integer number (3124835).

Almost surely, 2149790452 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 149790452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168741090).

149790452 is an abundant number, since it is smaller than the sum of its proper divisors (187691728).

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

149790452 is a wasteful number, since it uses less digits than its factorization.

149790452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 41.

The square root of 149790452 is about 12238.8909628283. The cubic root of 149790452 is about 531.0817493123.

The spelling of 149790452 in words is "one hundred forty-nine million, seven hundred ninety thousand, four hundred fifty-two".

Divisors: 1 2 4 7 14 19 28 29 38 49 58 73 76 98 116 133 146 196 203 266 292 361 406 511 532 551 722 812 931 1022 1102 1387 1421 1444 1862 2044 2117 2204 2527 2774 2842 3577 3724 3857 4234 5054 5548 5684 7154 7714 8468 9709 10108 10469 14308 14819 15428 17689 19418 20938 26353 26999 29638 35378 38836 40223 41876 52706 53998 59276 67963 70756 73283 80446 103733 105412 107996 135926 146566 160892 184471 207466 271852 281561 293132 368942 414932 512981 563122 737884 764237 1025962 1126244 1291297 1528474 1970927 2051924 2582594 3056948 3941854 5165188 5349659 7883708 10699318 21398636 37447613 74895226 149790452