Search a number
-
+
152800912 = 24111038429
BaseRepresentation
bin10010001101110…
…00111010010000
3101122112002110001
421012320322100
5303104112122
623055015344
73533533465
oct1106707220
9348462401
10152800912
1179285650
124320a554
132586ca54
141641766c
15d634527
hex91b8e90

152800912 has 40 divisors (see below), whose sum is σ = 326139840. Its totient is φ = 68772480.

The previous prime is 152800909. The next prime is 152800919. The reversal of 152800912 is 219008251.

It is not an unprimeable number, because it can be changed into a prime (152800919) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13914 + ... + 22342.

It is an arithmetic number, because the mean of its divisors is an integer number (8153496).

Almost surely, 2152800912 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 152800912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163069920).

152800912 is an abundant number, since it is smaller than the sum of its proper divisors (173338928).

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

152800912 is a wasteful number, since it uses less digits than its factorization.

152800912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8551 (or 8545 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 28.

The square root of 152800912 is about 12361.2666017686. The cubic root of 152800912 is about 534.6160368418.

The spelling of 152800912 in words is "one hundred fifty-two million, eight hundred thousand, nine hundred twelve".

Divisors: 1 2 4 8 11 16 22 44 88 103 176 206 412 824 1133 1648 2266 4532 8429 9064 16858 18128 33716 67432 92719 134864 185438 370876 741752 868187 1483504 1736374 3472748 6945496 9550057 13890992 19100114 38200228 76400456 152800912