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152525000 = 23556101
BaseRepresentation
bin10010001011101…
…01100011001000
3101122000001222002
421011311203020
5303021300000
623045050132
73531304205
oct1105654310
9348001862
10152525000
1179107321
12430b6948
13257a42a4
1416384cac
15d5cc8d5
hex91758c8

152525000 has 48 divisors (see below), whose sum is σ = 357516180. Its totient is φ = 61000000.

The previous prime is 152524997. The next prime is 152525039. The reversal of 152525000 is 525251.

It can be written as a sum of positive squares in 6 ways, for example, as 12292036 + 140232964 = 3506^2 + 11842^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21950 + ... + 28050.

Almost surely, 2152525000 is an apocalyptic number.

152525000 is a gapful number since it is divisible by the number (10) 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 152525000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178758090).

152525000 is an abundant number, since it is smaller than the sum of its proper divisors (204991180).

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

152525000 is an frugal number, since it uses more digits than its factorization.

152525000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6132 (or 6108 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 20.

The square root of 152525000 is about 12350.1012141601. The cubic root of 152525000 is about 534.2940582806.

The spelling of 152525000 in words is "one hundred fifty-two million, five hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 3125 5000 6101 6250 12202 12500 24404 25000 30505 48808 61010 122020 152525 244040 305050 610100 762625 1220200 1525250 3050500 3813125 6101000 7626250 15252500 19065625 30505000 38131250 76262500 152525000