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152990592 = 2732391667
BaseRepresentation
bin10010001111001…
…11001110000000
3101122212201122020
421013213032000
5303131144332
623103041440
73535253466
oct1107471600
9348781566
10152990592
11793a5107
12432a0280
13259081a1
1416466836
15d67082c
hex91e7380

152990592 has 64 divisors (see below), whose sum is σ = 408326400. Its totient is φ = 50753024.

The previous prime is 152990581. The next prime is 152990609. The reversal of 152990592 is 295099251.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1529905922 = 46812242481020928, which contains 22 as substring.

It is a congruent number.

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, 90943 + ... + 92609.

It is an arithmetic number, because the mean of its divisors is an integer number (6380100).

Almost surely, 2152990592 is an apocalyptic number.

152990592 is a gapful number since it is divisible by the number (12) 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 152990592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204163200).

152990592 is an abundant number, since it is smaller than the sum of its proper divisors (255335808).

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

152990592 is a wasteful number, since it uses less digits than its factorization.

152990592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1923 (or 1911 counting only the distinct ones).

The product of its (nonzero) digits is 72900, while the sum is 42.

The square root of 152990592 is about 12368.9365751466. The cubic root of 152990592 is about 534.8371612606.

The spelling of 152990592 in words is "one hundred fifty-two million, nine hundred ninety thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 239 384 478 717 956 1434 1667 1912 2868 3334 3824 5001 5736 6668 7648 10002 11472 13336 15296 20004 22944 26672 30592 40008 45888 53344 80016 91776 106688 160032 213376 320064 398413 640128 796826 1195239 1593652 2390478 3187304 4780956 6374608 9561912 12749216 19123824 25498432 38247648 50996864 76495296 152990592