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152108292 = 223723131601
BaseRepresentation
bin10010001000011…
…11110100000100
3101121012220100110
421010033310010
5302414431132
623032113020
73524620260
oct1104176404
9347186313
10152108292
1178952236
1242b35770
132568970b
14162b70a0
15d5491cc
hex910fd04

152108292 has 96 divisors (see below), whose sum is σ = 427198464. Its totient is φ = 41184000.

The previous prime is 152108287. The next prime is 152108317. The reversal of 152108292 is 292801251.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 252792 + ... + 253392.

It is an arithmetic number, because the mean of its divisors is an integer number (4449984).

Almost surely, 2152108292 is an apocalyptic number.

152108292 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 152108292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213599232).

152108292 is an abundant number, since it is smaller than the sum of its proper divisors (275090172).

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

152108292 is a wasteful number, since it uses less digits than its factorization.

152108292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 152108292 is about 12333.2190445155. The cubic root of 152108292 is about 533.8070393733.

The spelling of 152108292 in words is "one hundred fifty-two million, one hundred eight thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 131 138 161 262 276 322 393 483 524 601 644 786 917 966 1202 1572 1803 1834 1932 2404 2751 3013 3606 3668 4207 5502 6026 7212 8414 9039 11004 12052 12621 13823 16828 18078 21091 25242 27646 36156 41469 42182 50484 55292 63273 78731 82938 84364 96761 126546 157462 165876 193522 236193 253092 290283 314924 387044 472386 551117 580566 944772 1102234 1161132 1653351 1810813 2204468 3306702 3621626 5432439 6613404 7243252 10864878 12675691 21729756 25351382 38027073 50702764 76054146 152108292