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152154048 = 2631137013
BaseRepresentation
bin10010001000110…
…10111111000000
3101121022020010010
421010122333000
5302422412143
623033104520
73525200544
oct1104327700
9347266103
10152154048
1178983652
1242b58140
13256a44a7
14162c9a24
15d557a33
hex911afc0

152154048 has 56 divisors (see below), whose sum is σ = 406194768. Its totient is φ = 50262016.

The previous prime is 152153971. The next prime is 152154049. The reversal of 152154048 is 840451251.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152154049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18190 + ... + 25202.

It is an arithmetic number, because the mean of its divisors is an integer number (7253478).

Almost surely, 2152154048 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 152154048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203097384).

152154048 is an abundant number, since it is smaller than the sum of its proper divisors (254040720).

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

152154048 is a wasteful number, since it uses less digits than its factorization.

152154048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7141 (or 7131 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The square root of 152154048 is about 12335.0738951982. The cubic root of 152154048 is about 533.8605591955.

The spelling of 152154048 in words is "one hundred fifty-two million, one hundred fifty-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 113 192 226 339 452 678 904 1356 1808 2712 3616 5424 7013 7232 10848 14026 21039 21696 28052 42078 56104 84156 112208 168312 224416 336624 448832 673248 792469 1346496 1584938 2377407 3169876 4754814 6339752 9509628 12679504 19019256 25359008 38038512 50718016 76077024 152154048