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151056048 = 243111359373
BaseRepresentation
bin10010000000011…
…10111010110000
3101112020102221110
421000032322300
5302132243143
622553353320
73512645433
oct1100167260
9345212843
10151056048
11782a3710
1242708840
13253ab7a0
14160c181a
15d3dc533
hex900eeb0

151056048 has 160 divisors (see below), whose sum is σ = 467470080. Its totient is φ = 41425920.

The previous prime is 151056047. The next prime is 151056083. The reversal of 151056048 is 840650151.

It is not an unprimeable number, because it can be changed into a prime (151056047) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 404790 + ... + 405162.

It is an arithmetic number, because the mean of its divisors is an integer number (2921688).

Almost surely, 2151056048 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 151056048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233735040).

151056048 is an abundant number, since it is smaller than the sum of its proper divisors (316414032).

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

151056048 is a wasteful number, since it uses less digits than its factorization.

151056048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The square root of 151056048 is about 12290.4860766367. The cubic root of 151056048 is about 532.5732791657.

The spelling of 151056048 in words is "one hundred fifty-one million, fifty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 59 66 78 88 104 118 132 143 156 176 177 208 236 264 286 312 354 373 429 472 528 572 624 649 708 746 767 858 944 1119 1144 1298 1416 1492 1534 1716 1947 2238 2288 2301 2596 2832 2984 3068 3432 3894 4103 4476 4602 4849 5192 5968 6136 6864 7788 8206 8437 8952 9204 9698 10384 12272 12309 14547 15576 16412 16874 17904 18408 19396 22007 24618 25311 29094 31152 32824 33748 36816 38792 44014 49236 50622 53339 58188 65648 66021 67496 77584 88028 98472 101244 106678 116376 132042 134992 160017 176056 196944 202488 213356 232752 242077 264084 286091 320034 352112 404976 426712 484154 528168 572182 640068 726231 853424 858273 968308 1056336 1144364 1280136 1452462 1716546 1936616 2288728 2560272 2904924 3147001 3433092 3873232 4577456 5809848 6294002 6866184 9441003 11619696 12588004 13732368 18882006 25176008 37764012 50352016 75528024 151056048