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152000608 = 251953289
BaseRepresentation
bin10010000111101…
…01100001100000
3101121000102122011
421003311201200
5302403004413
623025522304
73523661314
oct1103654140
9347012564
10152000608
1178889341
1242aa3394
132564c6b6
1416289b44
15d52733d
hex90f5860

152000608 has 72 divisors (see below), whose sum is σ = 324664200. Its totient is φ = 69848064.

The previous prime is 152000599. The next prime is 152000617. The reversal of 152000608 is 806000251.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (152000599) and next prime (152000617).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 1707828 + ... + 1707916.

It is an arithmetic number, because the mean of its divisors is an integer number (4509225).

Almost surely, 2152000608 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 152000608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162332100).

152000608 is an abundant number, since it is smaller than the sum of its proper divisors (172663592).

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

152000608 is an equidigital number, since it uses as much as digits as its factorization.

152000608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 152000608 is about 12328.8526635693. The cubic root of 152000608 is about 533.6810413172.

Adding to 152000608 its reverse (806000251), we get a palindrome (958000859).

The spelling of 152000608 in words is "one hundred fifty-two million, six hundred eight", and thus it is an aban number.

Divisors: 1 2 4 8 16 19 32 38 53 76 89 106 152 178 212 304 356 424 608 712 848 1007 1424 1691 1696 2014 2809 2848 3382 4028 4717 5618 6764 8056 9434 11236 13528 16112 18868 22472 27056 32224 37736 44944 53371 54112 75472 89623 89888 106742 150944 179246 213484 250001 358492 426968 500002 716984 853936 1000004 1433968 1707872 2000008 2867936 4000016 4750019 8000032 9500038 19000076 38000152 76000304 152000608