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152001528 = 23372294457
BaseRepresentation
bin10010000111101…
…01101111111000
3101121000110220020
421003311233320
5302403022103
623025530440
73523664100
oct1103655770
9347013806
10152001528
1178889aa8
1242aa3a20
132564cc43
141628a200
15d527753
hex90f5bf8

152001528 has 96 divisors (see below), whose sum is σ = 457390800. Its totient is φ = 41922048.

The previous prime is 152001497. The next prime is 152001541. The reversal of 152001528 is 825100251.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 152001498 and 152001507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31876 + ... + 36332.

Almost surely, 2152001528 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 152001528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228695400).

152001528 is an abundant number, since it is smaller than the sum of its proper divisors (305389272).

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

152001528 is a wasteful number, since it uses less digits than its factorization.

152001528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4509 (or 4498 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

The square root of 152001528 is about 12328.8899743651. The cubic root of 152001528 is about 533.6821180356.

Adding to 152001528 its reverse (825100251), we get a palindrome (977101779).

The spelling of 152001528 in words is "one hundred fifty-two million, one thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 49 56 58 84 87 98 116 147 168 174 196 203 232 294 348 392 406 588 609 696 812 1176 1218 1421 1624 2436 2842 4263 4457 4872 5684 8526 8914 11368 13371 17052 17828 26742 31199 34104 35656 53484 62398 93597 106968 124796 129253 187194 218393 249592 258506 374388 387759 436786 517012 655179 748776 775518 873572 904771 1034024 1310358 1551036 1747144 1809542 2620716 2714313 3102072 3619084 5241432 5428626 6333397 7238168 10857252 12666794 19000191 21714504 25333588 38000382 50667176 76000764 152001528