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152981046 = 23219617333
BaseRepresentation
bin10010001111001…
…00111000110110
3101122212020112200
421013210320312
5303130343141
623102525330
73535213611
oct1107447066
9348766480
10152981046
1179398a19
1243296846
1325903a3a
1416463178
15d66cab6
hex91e4e36

152981046 has 48 divisors (see below), whose sum is σ = 354672240. Its totient is φ = 47511360.

The previous prime is 152981039. The next prime is 152981069. The reversal of 152981046 is 640189251.

152981046 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 152981046.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17196 + ... + 24528.

It is an arithmetic number, because the mean of its divisors is an integer number (7389005).

Almost surely, 2152981046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152981046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177336120).

152981046 is an abundant number, since it is smaller than the sum of its proper divisors (201691194).

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

152981046 is a wasteful number, since it uses less digits than its factorization.

152981046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7421 (or 7418 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 152981046 is about 12368.5506830833. The cubic root of 152981046 is about 534.8260371305.

The spelling of 152981046 in words is "one hundred fifty-two million, nine hundred eighty-one thousand, forty-six".

Divisors: 1 2 3 6 9 18 19 38 57 61 114 122 171 183 342 366 549 1098 1159 2318 3477 6954 7333 10431 14666 20862 21999 43998 65997 131994 139327 278654 417981 447313 835962 894626 1253943 1341939 2507886 2683878 4025817 8051634 8498947 16997894 25496841 50993682 76490523 152981046