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149464464 = 2435989593
BaseRepresentation
bin10001110100010…
…10010110010000
3101102020120200220
420322022112100
5301230330324
622455313040
73463266312
oct1072122620
9342216626
10149464464
1177406956
124207b780
1324c72216
1415bc97b2
15d1c5b79
hex8e8a590

149464464 has 80 divisors (see below), whose sum is σ = 397742400. Its totient is φ = 48345088.

The previous prime is 149464453. The next prime is 149464477. The reversal of 149464464 is 464464941.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 251752 + ... + 252344.

It is an arithmetic number, because the mean of its divisors is an integer number (4971780).

Almost surely, 2149464464 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 149464464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198871200).

149464464 is an abundant number, since it is smaller than the sum of its proper divisors (248277936).

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

149464464 is a wasteful number, since it uses less digits than its factorization.

149464464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 746 counting only the distinct ones).

The product of its digits is 331776, while the sum is 42.

The square root of 149464464 is about 12225.5659991675. The cubic root of 149464464 is about 530.6962062236.

The spelling of 149464464 in words is "one hundred forty-nine million, four hundred sixty-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 59 89 118 177 178 236 267 354 356 472 534 593 708 712 944 1068 1186 1416 1424 1779 2136 2372 2832 3558 4272 4744 5251 7116 9488 10502 14232 15753 21004 28464 31506 34987 42008 52777 63012 69974 84016 104961 105554 126024 139948 158331 209922 211108 252048 279896 316662 419844 422216 559792 633324 839688 844432 1266648 1679376 2533296 3113843 6227686 9341529 12455372 18683058 24910744 37366116 49821488 74732232 149464464