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152859408 = 243131912893
BaseRepresentation
bin10010001110001…
…11001100010000
3101122122001200120
421013013030100
5303113000113
623100150240
73534166152
oct1107071420
9348561616
10152859408
1179315599
1243238380
1325890570
1416430ad2
15d646a23
hex91c7310

152859408 has 80 divisors (see below), whose sum is σ = 447679680. Its totient is φ = 44554752.

The previous prime is 152859397. The next prime is 152859433. The reversal of 152859408 is 804958251.

It is a happy number.

152859408 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1528594082 = 46731997228220928, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 152859408.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5410 + ... + 18302.

It is an arithmetic number, because the mean of its divisors is an integer number (5595996).

Almost surely, 2152859408 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 152859408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223839840).

152859408 is an abundant number, since it is smaller than the sum of its proper divisors (294820272).

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

152859408 is a wasteful number, since it uses less digits than its factorization.

152859408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12936 (or 12930 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 42.

The square root of 152859408 is about 12363.6324759352. The cubic root of 152859408 is about 534.6842495888.

The spelling of 152859408 in words is "one hundred fifty-two million, eight hundred fifty-nine thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 38 39 48 52 57 76 78 104 114 152 156 208 228 247 304 312 456 494 624 741 912 988 1482 1976 2964 3952 5928 11856 12893 25786 38679 51572 77358 103144 154716 167609 206288 244967 309432 335218 489934 502827 618864 670436 734901 979868 1005654 1340872 1469802 1959736 2011308 2681744 2939604 3184571 3919472 4022616 5879208 6369142 8045232 9553713 11758416 12738284 19107426 25476568 38214852 50953136 76429704 152859408