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150455556 = 22342331993
BaseRepresentation
bin10001111011111…
…00010100000100
3101111002221020000
420331330110010
5302004034211
622532441300
73504564636
oct1075742404
9344087200
10150455556
1177a23539
1242479230
132522b374
1415da6a56
15d31e656
hex8f7c504

150455556 has 60 divisors (see below), whose sum is σ = 395206812. Its totient is φ = 49911552.

The previous prime is 150455531. The next prime is 150455561. The reversal of 150455556 is 655554051.

150455556 is a `hidden beast` number, since 1 + 50 + 4 + 55 + 556 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 69455556 + 81000000 = 8334^2 + 9000^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 150455556.

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 19 ways as a sum of consecutive naturals, for example, 74496 + ... + 76488.

Almost surely, 2150455556 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 150455556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197603406).

150455556 is an abundant number, since it is smaller than the sum of its proper divisors (244751256).

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

150455556 is a wasteful number, since it uses less digits than its factorization.

150455556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2242 (or 2231 counting only the distinct ones).

The product of its (nonzero) digits is 75000, while the sum is 36.

The square root of 150455556 is about 12266.0326104246. The cubic root of 150455556 is about 531.8666304078.

The spelling of 150455556 in words is "one hundred fifty million, four hundred fifty-five thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 233 324 466 699 932 1398 1993 2097 2796 3986 4194 5979 6291 7972 8388 11958 12582 17937 18873 23916 25164 35874 37746 53811 71748 75492 107622 161433 215244 322866 464369 645732 928738 1393107 1857476 2786214 4179321 5572428 8358642 12537963 16717284 25075926 37613889 50151852 75227778 150455556