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154968996 = 223713191743
BaseRepresentation
bin10010011110010…
…10001110100100
3101210121020111110
421033022032210
5304133001441
623213305020
73561133440
oct1117121644
9353536443
10154968996
117a526556
1243a95170
132614b840
141681d820
15d911b16
hex93ca3a4

154968996 has 96 divisors (see below), whose sum is σ = 447971328. Its totient is φ = 40602240.

The previous prime is 154968973. The next prime is 154969013. The reversal of 154968996 is 699869451.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 208201 + ... + 208943.

It is an arithmetic number, because the mean of its divisors is an integer number (4666368).

Almost surely, 2154968996 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 154968996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223985664).

154968996 is an abundant number, since it is smaller than the sum of its proper divisors (293002332).

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

154968996 is a wasteful number, since it uses less digits than its factorization.

154968996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961 (or 959 counting only the distinct ones).

The product of its digits is 4199040, while the sum is 57.

The square root of 154968996 is about 12448.6543851133. The cubic root of 154968996 is about 537.1327172497.

The spelling of 154968996 in words is "one hundred fifty-four million, nine hundred sixty-eight thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 191 273 364 382 546 573 743 764 1092 1146 1337 1486 2229 2292 2483 2674 2972 4011 4458 4966 5201 5348 7449 8022 8916 9659 9932 10402 14898 15603 16044 17381 19318 20804 28977 29796 31206 34762 38636 52143 57954 62412 67613 69524 104286 115908 135226 141913 202839 208572 270452 283826 405678 425739 567652 811356 851478 993391 1702956 1844869 1986782 2980173 3689738 3973564 5534607 5960346 7379476 11069214 11920692 12914083 22138428 25828166 38742249 51656332 77484498 154968996