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152156928 = 2837113183
BaseRepresentation
bin10010001000110…
…11101100000000
3101121022101001210
421010123230000
5302423010203
623033130120
73525212130
oct1104335400
9347271053
10152156928
1178985830
1242b59940
13256a58b1
14162caac0
15d558803
hex911bb00

152156928 has 288 divisors, whose sum is σ = 527450112. Its totient is φ = 37785600.

The previous prime is 152156911. The next prime is 152156969. The reversal of 152156928 is 829651251.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1833175 + ... + 1833257.

It is an arithmetic number, because the mean of its divisors is an integer number (1831424).

Almost surely, 2152156928 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 152156928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263725056).

152156928 is an abundant number, since it is smaller than the sum of its proper divisors (375293184).

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

152156928 is a wasteful number, since it uses less digits than its factorization.

152156928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 137 counting only the distinct ones).

The product of its digits is 43200, while the sum is 39.

The square root of 152156928 is about 12335.1906349274. The cubic root of 152156928 is about 533.8639275114.

It can be divided in two parts, 152 and 156928, that added together give a triangular number (157080 = T560).

The spelling of 152156928 in words is "one hundred fifty-two million, one hundred fifty-six thousand, nine hundred twenty-eight".