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152011392 = 2731337823
BaseRepresentation
bin10010000111110…
…00001010000000
3101121000222102120
421003320022000
5302403331032
623030044240
73524034621
oct1103701200
9347028376
10152011392
1178896455
1242aa9680
1325654590
141628da48
15d52a62c
hex90f8280

152011392 has 128 divisors (see below), whose sum is σ = 447135360. Its totient is φ = 45453312.

The previous prime is 152011351. The next prime is 152011397. The reversal of 152011392 is 293110251.

152011392 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (152011397) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 184293 + ... + 185115.

It is an arithmetic number, because the mean of its divisors is an integer number (3493245).

Almost surely, 2152011392 is an apocalyptic number.

152011392 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 152011392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223567680).

152011392 is an abundant number, since it is smaller than the sum of its proper divisors (295123968).

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

152011392 is a wasteful number, since it uses less digits than its factorization.

152011392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 24.

The square root of 152011392 is about 12329.2900038891. The cubic root of 152011392 is about 533.6936620568.

The spelling of 152011392 in words is "one hundred fifty-two million, eleven thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 37 39 48 52 64 74 78 96 104 111 128 148 156 192 208 222 296 312 384 416 444 481 592 624 823 832 888 962 1184 1248 1443 1646 1664 1776 1924 2368 2469 2496 2886 3292 3552 3848 4736 4938 4992 5772 6584 7104 7696 9876 10699 11544 13168 14208 15392 19752 21398 23088 26336 30451 30784 32097 39504 42796 46176 52672 60902 61568 64194 79008 85592 91353 92352 105344 121804 128388 158016 171184 182706 184704 243608 256776 316032 342368 365412 395863 487216 513552 684736 730824 791726 974432 1027104 1187589 1369472 1461648 1583452 1948864 2054208 2375178 2923296 3166904 3897728 4108416 4750356 5846592 6333808 9500712 11693184 12667616 19001424 25335232 38002848 50670464 76005696 152011392