Search a number
-
+
152251104 = 2531983471
BaseRepresentation
bin10010001001100…
…10101011100000
3101121111011020210
421010302223200
5302434013404
623035134120
73526053525
oct1104625340
9347434223
10152251104
1178a3a565
1242ba4340
1325709715
141631314c
15d576689
hex9132ae0

152251104 has 48 divisors (see below), whose sum is σ = 420698880. Its totient is φ = 48078720.

The previous prime is 152251087. The next prime is 152251129. The reversal of 152251104 is 401152251.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39912 + ... + 43559.

It is an arithmetic number, because the mean of its divisors is an integer number (8764560).

Almost surely, 2152251104 is an apocalyptic number.

It is an amenable number.

152251104 is an abundant number, since it is smaller than the sum of its proper divisors (268447776).

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

152251104 is a wasteful number, since it uses less digits than its factorization.

152251104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83503 (or 83495 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 152251104 is about 12339.0074155096. The cubic root of 152251104 is about 533.9740480311.

The spelling of 152251104 in words is "one hundred fifty-two million, two hundred fifty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 83471 166942 250413 333884 500826 667768 1001652 1335536 1585949 2003304 2671072 3171898 4006608 4757847 6343796 8013216 9515694 12687592 19031388 25375184 38062776 50750368 76125552 152251104