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152121872 = 247353523
BaseRepresentation
bin10010001000100…
…11001000010000
3101121020120222102
421010103020100
5302420344442
623032255532
73525005000
oct1104231020
9347216872
10152121872
1178961461
1242b415a8
1325692956
14162bc000
15d54d232
hex9113210

152121872 has 80 divisors (see below), whose sum is σ = 350870400. Its totient is φ = 63842688.

The previous prime is 152121863. The next prime is 152121887. The reversal of 152121872 is 278121251.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 290603 + ... + 291125.

It is an arithmetic number, because the mean of its divisors is an integer number (4385880).

Almost surely, 2152121872 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 152121872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175435200).

152121872 is an abundant number, since it is smaller than the sum of its proper divisors (198748528).

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

152121872 is an equidigital number, since it uses as much as digits as its factorization.

152121872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 585 counting only the distinct ones).

The product of its digits is 2240, while the sum is 29.

The square root of 152121872 is about 12333.7695778703. The cubic root of 152121872 is about 533.8229247310.

The spelling of 152121872 in words is "one hundred fifty-two million, one hundred twenty-one thousand, eight hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 49 53 56 98 106 112 196 212 343 371 392 424 523 686 742 784 848 1046 1372 1484 2092 2597 2744 2968 3661 4184 5194 5488 5936 7322 8368 10388 14644 18179 20776 25627 27719 29288 36358 41552 51254 55438 58576 72716 102508 110876 145432 179389 194033 205016 221752 290864 358778 388066 410032 443504 717556 776132 1358231 1435112 1552264 2716462 2870224 3104528 5432924 9507617 10865848 19015234 21731696 38030468 76060936 152121872