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149648408 = 237131931349
BaseRepresentation
bin10001110101101…
…11010000011000
3101102120221000122
420322313100120
5301302222113
622503252412
73464663510
oct1072672030
9342527018
10149648408
1177522078
124214a108
1325007b70
1415c36840
15d210408
hex8eb7418

149648408 has 128 divisors (see below), whose sum is σ = 376320000. Its totient is φ = 54120960.

The previous prime is 149648383. The next prime is 149648413. The reversal of 149648408 is 804846941.

149648408 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 428618 + ... + 428966.

It is an arithmetic number, because the mean of its divisors is an integer number (2940000).

Almost surely, 2149648408 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 149648408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188160000).

149648408 is an abundant number, since it is smaller than the sum of its proper divisors (226671592).

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

149648408 is a wasteful number, since it uses less digits than its factorization.

149648408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 44.

The square root of 149648408 is about 12233.0866096828. The cubic root of 149648408 is about 530.9138239810.

The spelling of 149648408 in words is "one hundred forty-nine million, six hundred forty-eight thousand, four hundred eight".

Divisors: 1 2 4 7 8 13 14 19 26 28 31 38 52 56 62 76 91 104 124 133 152 182 217 247 248 266 349 364 403 434 494 532 589 698 728 806 868 988 1064 1178 1396 1612 1729 1736 1976 2356 2443 2792 2821 3224 3458 4123 4537 4712 4886 5642 6631 6916 7657 8246 9074 9772 10819 11284 13262 13832 15314 16492 18148 19544 21638 22568 26524 30628 31759 32984 36296 43276 46417 53048 53599 61256 63518 75733 86203 86552 92834 107198 127036 140647 151466 172406 185668 205561 214396 254072 281294 302932 344812 371336 411122 428792 562588 603421 605864 689624 822244 984529 1125176 1206842 1438927 1644488 1969058 2413684 2672293 2877854 3938116 4827368 5344586 5755708 7876232 10689172 11511416 18706051 21378344 37412102 74824204 149648408