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152535500 = 22531331757
BaseRepresentation
bin10010001011110…
…00000111001100
3101122000121100222
421011320013030
5303022114000
623045210512
73531346625
oct1105700714
9348017328
10152535500
11791141a7
1243100a38
13257a8cc0
1416388a4c
15d5d0a85
hex91781cc

152535500 has 96 divisors (see below), whose sum is σ = 370825728. Its totient is φ = 54432000.

The previous prime is 152535499. The next prime is 152535521. The reversal of 152535500 is 5535251.

152535500 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 152535500.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 201122 + ... + 201878.

It is an arithmetic number, because the mean of its divisors is an integer number (3862768).

Almost surely, 2152535500 is an apocalyptic number.

152535500 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 152535500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185412864).

152535500 is an abundant number, since it is smaller than the sum of its proper divisors (218290228).

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

152535500 is a wasteful number, since it uses less digits than its factorization.

152535500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 26.

The square root of 152535500 is about 12350.5263045750. The cubic root of 152535500 is about 534.3063184759.

The spelling of 152535500 in words is "one hundred fifty-two million, five hundred thirty-five thousand, five hundred".

Divisors: 1 2 4 5 10 13 20 25 26 31 50 52 62 65 100 124 125 130 155 250 260 310 325 403 500 620 650 757 775 806 1300 1514 1550 1612 1625 2015 3028 3100 3250 3785 3875 4030 6500 7570 7750 8060 9841 10075 15140 15500 18925 19682 20150 23467 37850 39364 40300 46934 49205 50375 75700 93868 94625 98410 100750 117335 189250 196820 201500 234670 246025 305071 378500 469340 492050 586675 610142 984100 1173350 1220284 1230125 1525355 2346700 2460250 2933375 3050710 4920500 5866750 6101420 7626775 11733500 15253550 30507100 38133875 76267750 152535500