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149666952 = 23319595563
BaseRepresentation
bin10001110101110…
…11110010001000
3101102121212110110
420322323302020
5301303320302
622503514320
73465101541
oct1072736210
9342555413
10149666952
1177534aa6
12421589a0
1325013436
1415c3d4c8
15d215b6c
hex8ebbc88

149666952 has 64 divisors (see below), whose sum is σ = 400608000. Its totient is φ = 46453824.

The previous prime is 149666927. The next prime is 149666969. The reversal of 149666952 is 259666941.

149666952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24123 + ... + 29685.

It is an arithmetic number, because the mean of its divisors is an integer number (6259500).

Almost surely, 2149666952 is an apocalyptic number.

149666952 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 149666952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200304000).

149666952 is an abundant number, since it is smaller than the sum of its proper divisors (250941048).

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

149666952 is a wasteful number, since it uses less digits than its factorization.

149666952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5650 (or 5646 counting only the distinct ones).

The product of its digits is 699840, while the sum is 48.

The square root of 149666952 is about 12233.8445306453. The cubic root of 149666952 is about 530.9357528462.

The spelling of 149666952 in words is "one hundred forty-nine million, six hundred sixty-six thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 59 76 114 118 152 177 228 236 354 456 472 708 1121 1416 2242 3363 4484 5563 6726 8968 11126 13452 16689 22252 26904 33378 44504 66756 105697 133512 211394 317091 328217 422788 634182 656434 845576 984651 1268364 1312868 1969302 2536728 2625736 3938604 6236123 7877208 12472246 18708369 24944492 37416738 49888984 74833476 149666952