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152515381 = 17312511153
BaseRepresentation
bin10010001011100…
…11001100110101
3101121222120202211
421011303030311
5303020443011
623044533421
73531234154
oct1105631465
9347876684
10152515381
1179100077
12430b1271
132579cab5
141638159b
15d5c9b21
hex9173335

152515381 has 16 divisors (see below), whose sum is σ = 167505408. Its totient is φ = 138240000.

The previous prime is 152515361. The next prime is 152515403. The reversal of 152515381 is 183515251.

152515381 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a 7-Lehmer number, since φ(152515381) divides (152515381-1)7.

It is a cyclic number.

It is not a de Polignac number, because 152515381 - 213 = 152507189 is a prime.

It is a super-2 number, since 2×1525153812 = 46521882883150322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152515301) 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, 131701 + ... + 132853.

It is an arithmetic number, because the mean of its divisors is an integer number (10469088).

Almost surely, 2152515381 is an apocalyptic number.

It is an amenable number.

152515381 is a deficient number, since it is larger than the sum of its proper divisors (14990027).

152515381 is a wasteful number, since it uses less digits than its factorization.

152515381 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1452.

The product of its digits is 6000, while the sum is 31.

The square root of 152515381 is about 12349.7117780133. The cubic root of 152515381 is about 534.2828262802.

It can be divided in two parts, 15 and 2515381, that added together give a square (2515396 = 15862).

The spelling of 152515381 in words is "one hundred fifty-two million, five hundred fifteen thousand, three hundred eighty-one".

Divisors: 1 17 31 251 527 1153 4267 7781 19601 35743 132277 289403 607631 4919851 8971493 152515381