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152044056 = 23321727307
BaseRepresentation
bin10010001000000…
…00001000011000
3101121002122020100
421010000020120
5302410402211
623030455400
73524232063
oct1104001030
9347078210
10152044056
1178908a4a
1242b04560
13256663c8
141629b8da
15d535156
hex9100218

152044056 has 72 divisors (see below), whose sum is σ = 437493420. Its totient is φ = 47693568.

The previous prime is 152044051. The next prime is 152044097. The reversal of 152044056 is 650440251.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×1520440562 = 46234789929862272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152044051) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 17155 + ... + 24461.

Almost surely, 2152044056 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 152044056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218746710).

152044056 is an abundant number, since it is smaller than the sum of its proper divisors (285449364).

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

152044056 is a wasteful number, since it uses less digits than its factorization.

152044056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7353 (or 7329 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 152044056 is about 12330.6145832233. The cubic root of 152044056 is about 533.7318857738.

The spelling of 152044056 in words is "one hundred fifty-two million, forty-four thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 289 306 408 578 612 867 1156 1224 1734 2312 2601 3468 5202 6936 7307 10404 14614 20808 21921 29228 43842 58456 65763 87684 124219 131526 175368 248438 263052 372657 496876 526104 745314 993752 1117971 1490628 2111723 2235942 2981256 4223446 4471884 6335169 8446892 8943768 12670338 16893784 19005507 25340676 38011014 50681352 76022028 152044056