Search a number
-
+
156404052 = 223273120021
BaseRepresentation
bin10010101001010…
…00100101010100
3101220022011000200
421110220211110
5310014412202
623304140500
73606261330
oct1124504524
9356264020
10156404052
1180316752
1244467730
1326531a9c
1416ab47c0
15dae6e1c
hex9528954

156404052 has 72 divisors (see below), whose sum is σ = 466432512. Its totient is φ = 43243200.

The previous prime is 156403997. The next prime is 156404057. The reversal of 156404052 is 250404651.

156404052 is a `hidden beast` number, since 15 + 640 + 4 + 0 + 5 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (156404057) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2199 + ... + 17822.

Almost surely, 2156404052 is an apocalyptic number.

156404052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 156404052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233216256).

156404052 is an abundant number, since it is smaller than the sum of its proper divisors (310028460).

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

156404052 is a wasteful number, since it uses less digits than its factorization.

156404052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20069 (or 20064 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 156404052 is about 12506.1605618991. The cubic root of 156404052 is about 538.7856250185.

The spelling of 156404052 in words is "one hundred fifty-six million, four hundred four thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 62 63 84 93 124 126 186 217 252 279 372 434 558 651 868 1116 1302 1953 2604 3906 7812 20021 40042 60063 80084 120126 140147 180189 240252 280294 360378 420441 560588 620651 720756 840882 1241302 1261323 1681764 1861953 2482604 2522646 3723906 4344557 5045292 5585859 7447812 8689114 11171718 13033671 17378228 22343436 26067342 39101013 52134684 78202026 156404052