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556606674 = 233133125577
BaseRepresentation
bin100001001011010…
…010010011010010
31102210100112211000
4201023102103102
52114442403144
6131122002430
716536035661
oct4113222322
91383315730
10556606674
1126620a918
121364a6416
138b414680
1453cccdd8
1533cea769
hex212d24d2

556606674 has 64 divisors (see below), whose sum is σ = 1375073280. Its totient is φ = 165732480.

The previous prime is 556606667. The next prime is 556606679. The reversal of 556606674 is 476606655.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (556606679) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8974 + ... + 34550.

It is an arithmetic number, because the mean of its divisors is an integer number (21485520).

Almost surely, 2556606674 is an apocalyptic number.

556606674 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 556606674, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687536640).

556606674 is an abundant number, since it is smaller than the sum of its proper divisors (818466606).

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

556606674 is a wasteful number, since it uses less digits than its factorization.

556606674 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25632 (or 25626 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The square root of 556606674 is about 23592.5130920807. The cubic root of 556606674 is about 822.5888210113.

The spelling of 556606674 in words is "five hundred fifty-six million, six hundred six thousand, six hundred seventy-four".

Divisors: 1 2 3 6 9 13 18 26 27 31 39 54 62 78 93 117 186 234 279 351 403 558 702 806 837 1209 1674 2418 3627 7254 10881 21762 25577 51154 76731 153462 230193 332501 460386 665002 690579 792887 997503 1381158 1585774 1995006 2378661 2992509 4757322 5985018 7135983 8977527 10307531 14271966 17955054 20615062 21407949 30922593 42815898 61845186 92767779 185535558 278303337 556606674