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151448928 = 25323113607
BaseRepresentation
bin10010000011011…
…10110101100000
3101112222101212120
421001232311200
5302232331203
623010024240
73516203031
oct1101566540
9345871776
10151448928
1178541904
1242878080
13254b8567
1416184a88
15d468b53
hex906ed60

151448928 has 96 divisors (see below), whose sum is σ = 419198976. Its totient is φ = 47781888.

The previous prime is 151448911. The next prime is 151448953. The reversal of 151448928 is 829844151.

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

It is a self number, because there is not a number n which added to its sum of digits gives 151448928.

It is a congruent number.

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, 249201 + ... + 249807.

It is an arithmetic number, because the mean of its divisors is an integer number (4366656).

Almost surely, 2151448928 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 151448928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209599488).

151448928 is an abundant number, since it is smaller than the sum of its proper divisors (267750048).

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

151448928 is a wasteful number, since it uses less digits than its factorization.

151448928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756 (or 748 counting only the distinct ones).

The product of its digits is 92160, while the sum is 42.

The square root of 151448928 is about 12306.4587920327. The cubic root of 151448928 is about 533.0346007596.

The spelling of 151448928 in words is "one hundred fifty-one million, four hundred forty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 113 138 184 226 276 339 368 452 552 607 678 736 904 1104 1214 1356 1808 1821 2208 2428 2599 2712 3616 3642 4856 5198 5424 7284 7797 9712 10396 10848 13961 14568 15594 19424 20792 27922 29136 31188 41584 41883 55844 58272 62376 68591 83168 83766 111688 124752 137182 167532 205773 223376 249504 274364 335064 411546 446752 548728 670128 823092 1097456 1340256 1577593 1646184 2194912 3155186 3292368 4732779 6310372 6584736 9465558 12620744 18931116 25241488 37862232 50482976 75724464 151448928