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148268832 = 25317471933
BaseRepresentation
bin10001101011001…
…10011100100000
3101022222211121020
420311212130200
5300424100312
622413525440
73450156435
oct1065463440
9338884536
10148268832
117676a628
12417a3880
1324943c4a
1415997b8c
15d03b78c
hex8d66720

148268832 has 96 divisors (see below), whose sum is σ = 421085952. Its totient is φ = 45502464.

The previous prime is 148268797. The next prime is 148268843. The reversal of 148268832 is 238862841.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

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, 75738 + ... + 77670.

It is an arithmetic number, because the mean of its divisors is an integer number (4386312).

Almost surely, 2148268832 is an apocalyptic number.

148268832 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 148268832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210542976).

148268832 is an abundant number, since it is smaller than the sum of its proper divisors (272817120).

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

148268832 is a wasteful number, since it uses less digits than its factorization.

148268832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2010 (or 2002 counting only the distinct ones).

The product of its digits is 147456, while the sum is 42.

The square root of 148268832 is about 12176.5689748796. The cubic root of 148268832 is about 529.2773252473.

The spelling of 148268832 in words is "one hundred forty-eight million, two hundred sixty-eight thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 47 48 51 68 94 96 102 136 141 188 204 272 282 376 408 544 564 752 799 816 1128 1504 1598 1632 1933 2256 2397 3196 3866 4512 4794 5799 6392 7732 9588 11598 12784 15464 19176 23196 25568 30928 32861 38352 46392 61856 65722 76704 90851 92784 98583 131444 181702 185568 197166 262888 272553 363404 394332 525776 545106 726808 788664 1051552 1090212 1453616 1544467 1577328 2180424 2907232 3088934 3154656 4360848 4633401 6177868 8721696 9266802 12355736 18533604 24711472 37067208 49422944 74134416 148268832