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152283904 = 28312619
BaseRepresentation
bin10010001001110…
…10101100000000
3101121112211020121
421010322230000
5302441041104
623035550024
73526251253
oct1104725400
9347484217
10152283904
1178a62173
1242bbb314
132571b626
141632109a
15d581254
hex913ab00

152283904 has 54 divisors (see below), whose sum is σ = 314602260. Its totient is φ = 73566720.

The previous prime is 152283899. The next prime is 152283931. The reversal of 152283904 is 409382251.

It is a self number, because there is not a number n which added to its sum of digits gives 152283904.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 245707 + ... + 246325.

Almost surely, 2152283904 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 152283904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157301130).

152283904 is an abundant number, since it is smaller than the sum of its proper divisors (162318356).

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

152283904 is an frugal number, since it uses more digits than its factorization.

152283904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 152283904 is about 12340.3364621877. The cubic root of 152283904 is about 534.0123905909.

The spelling of 152283904 in words is "one hundred fifty-two million, two hundred eighty-three thousand, nine hundred four".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 256 496 619 961 992 1238 1922 1984 2476 3844 3968 4952 7688 7936 9904 15376 19189 19808 30752 38378 39616 61504 76756 79232 123008 153512 158464 246016 307024 594859 614048 1189718 1228096 2379436 2456192 4758872 4912384 9517744 19035488 38070976 76141952 152283904