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152828416 = 291322961
BaseRepresentation
bin10010001101111…
…11101000000000
3101122120111011201
421012333220000
5303111002131
623055350544
73534006616
oct1106775000
9348514151
10152828416
11792a4284
1243222454
132587c420
14164236b6
15d63c761
hex91bfa00

152828416 has 40 divisors (see below), whose sum is σ = 328861764. Its totient is φ = 70533120.

The previous prime is 152828387. The next prime is 152828441. The reversal of 152828416 is 614828251.

It can be written as a sum of positive squares in 2 ways, for example, as 151388416 + 1440000 = 12304^2 + 1200^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4825 + ... + 18136.

Almost surely, 2152828416 is an apocalyptic number.

152828416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

152828416 is an abundant number, since it is smaller than the sum of its proper divisors (176033348).

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

152828416 is an equidigital number, since it uses as much as digits as its factorization.

152828416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22992 (or 22976 counting only the distinct ones).

The product of its digits is 30720, while the sum is 37.

The square root of 152828416 is about 12362.3790590646. The cubic root of 152828416 is about 534.6481116882.

The spelling of 152828416 in words is "one hundred fifty-two million, eight hundred twenty-eight thousand, four hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 832 1664 3328 6656 22961 45922 91844 183688 298493 367376 596986 734752 1193972 1469504 2387944 2939008 4775888 5878016 9551776 11756032 19103552 38207104 76414208 152828416