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152002816 = 287271313
BaseRepresentation
bin10010000111101…
…10000100000000
3101121000112122221
421003312010000
5302403042231
623025540424
73524000620
oct1103660400
9347015587
10152002816
117888aa69
1242aa4714
13256506c4
141628a880
15d527d11
hex90f6100

152002816 has 72 divisors (see below), whose sum is σ = 349147904. Its totient is φ = 64696320.

The previous prime is 152002801. The next prime is 152002849. The reversal of 152002816 is 618200251.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 485476 + ... + 485788.

Almost surely, 2152002816 is an apocalyptic number.

152002816 is a gapful number since it is divisible by the number (16) 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 152002816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174573952).

152002816 is an abundant number, since it is smaller than the sum of its proper divisors (197145088).

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

152002816 is an equidigital number, since it uses as much as digits as its factorization.

152002816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 152002816 is about 12328.9422092895. The cubic root of 152002816 is about 533.6836254341.

The spelling of 152002816 in words is "one hundred fifty-two million, two thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 271 313 448 542 626 896 1084 1252 1792 1897 2168 2191 2504 3794 4336 4382 5008 7588 8672 8764 10016 15176 17344 17528 20032 30352 34688 35056 40064 60704 69376 70112 80128 84823 121408 140224 169646 242816 280448 339292 485632 560896 593761 678584 1187522 1357168 2375044 2714336 4750088 5428672 9500176 10857344 19000352 21714688 38000704 76001408 152002816