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153055008 = 25314
BaseRepresentation
bin10010001111101…
…10111100100000
3101200000000000000
421013312330200
5303140230013
623104300000
73535642341
oct1107667440
9350000000
10153055008
1179439547
1243311600
132592b5c2
14164820c8
15d684973
hex91f6f20

153055008 has 90 divisors (see below), whose sum is σ = 451990539. Its totient is φ = 51018336.

The previous prime is 153054989. The next prime is 153055037. The reversal of 153055008 is 800550351.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

153055008 is a `hidden beast` number, since 153 + 0 + 5 + 500 + 8 = 666.

153055008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 76527504 + 76527504 = 8748^2 + 8748^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=8748.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 51018335 + 51018336 + 51018337.

Almost surely, 2153055008 is an apocalyptic number.

153055008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153055008

153055008 is an abundant number, since it is smaller than the sum of its proper divisors (298935531).

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

153055008 is an frugal number, since it uses more digits than its factorization.

153055008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 5 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 153055008 is about 12371.5402436398. The cubic root of 153055008 is about 534.9122143209.

The spelling of 153055008 in words is "one hundred fifty-three million, fifty-five thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 729 864 972 1296 1458 1944 2187 2592 2916 3888 4374 5832 6561 7776 8748 11664 13122 17496 19683 23328 26244 34992 39366 52488 59049 69984 78732 104976 118098 157464 177147 209952 236196 314928 354294 472392 531441 629856 708588 944784 1062882 1417176 1594323 1889568 2125764 2834352 3188646 4251528 4782969 5668704 6377292 8503056 9565938 12754584 17006112 19131876 25509168 38263752 51018336 76527504 153055008