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151279968 = 2537225119
BaseRepresentation
bin10010000010001…
…01100101100000
3101112122211002210
421001011211200
5302211424333
623002242120
73514600320
oct1101054540
9345584083
10151279968
1178436974
12427b6340
1325459698
141613d280
15d433a63
hex9045960

151279968 has 48 divisors (see below), whose sum is σ = 453841920. Its totient is φ = 43222656.

The previous prime is 151279963. The next prime is 151280009. The reversal of 151279968 is 869972151.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151279963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111888 + ... + 113231.

It is an arithmetic number, because the mean of its divisors is an integer number (9455040).

Almost surely, 2151279968 is an apocalyptic number.

It is an amenable number.

151279968 is an abundant number, since it is smaller than the sum of its proper divisors (302561952).

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

151279968 is a wasteful number, since it uses less digits than its factorization.

151279968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225139 (or 225131 counting only the distinct ones).

The product of its digits is 272160, while the sum is 48.

The square root of 151279968 is about 12299.5921883614. The cubic root of 151279968 is about 532.8363050048.

The spelling of 151279968 in words is "one hundred fifty-one million, two hundred seventy-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 225119 450238 675357 900476 1350714 1575833 1800952 2701428 3151666 3601904 4727499 5402856 6303332 7203808 9454998 10805712 12606664 18909996 21611424 25213328 37819992 50426656 75639984 151279968