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556665150 = 235229731753
BaseRepresentation
bin100001001011100…
…000100100111110
31102210110112000210
4201023200210332
52120001241100
6131123133250
716536401316
oct4113404476
91383415023
10556665150
1126624a848
12136514226
138b435182
1453d06446
1533d0cc50
hex212e093e

556665150 has 96 divisors (see below), whose sum is σ = 1448523360. Its totient is φ = 141281280.

The previous prime is 556665139. The next prime is 556665157. The reversal of 556665150 is 51566655.

It is a junction number, because it is equal to n+sod(n) for n = 556665099 and 556665108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (556665157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 316674 + ... + 318426.

It is an arithmetic number, because the mean of its divisors is an integer number (15088785).

Almost surely, 2556665150 is an apocalyptic number.

556665150 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 556665150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724261680).

556665150 is an abundant number, since it is smaller than the sum of its proper divisors (891858210).

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

556665150 is a wasteful number, since it uses less digits than its factorization.

556665150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1870 (or 1865 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 39.

The square root of 556665150 is about 23593.7523509933. The cubic root of 556665150 is about 822.6176265226.

The spelling of 556665150 in words is "five hundred fifty-six million, six hundred sixty-five thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 29 30 50 58 73 75 87 145 146 150 174 219 290 365 435 438 725 730 870 1095 1450 1753 1825 2117 2175 2190 3506 3650 4234 4350 5259 5475 6351 8765 10518 10585 10950 12702 17530 21170 26295 31755 43825 50837 52590 52925 63510 87650 101674 105850 127969 131475 152511 158775 254185 255938 262950 305022 317550 383907 508370 639845 762555 767814 1270925 1279690 1525110 1919535 2541850 3199225 3711101 3812775 3839070 6398450 7422202 7625550 9597675 11133303 18555505 19195350 22266606 37111010 55666515 92777525 111333030 185555050 278332575 556665150