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556164450 = 232526120261
BaseRepresentation
bin100001001001100…
…110010101100010
31102202112002012100
4201021212111202
52114334230300
6131104311230
716532214462
oct4111462542
91382462170
10556164450
11265a38646
12136312516
138b2bb2ba
1453c15ba2
1533c5e700
hex21266562

556164450 has 72 divisors (see below), whose sum is σ = 1518798996. Its totient is φ = 145872000.

The previous prime is 556164439. The next prime is 556164461. The reversal of 556164450 is 54461655.

556164450 is a `hidden beast` number, since 5 + 5 + 6 + 1 + 644 + 5 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (556164439) and next prime (556164461).

It can be written as a sum of positive squares in 6 ways, for example, as 6561 + 556157889 = 81^2 + 23583^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17320 + ... + 37580.

Almost surely, 2556164450 is an apocalyptic number.

556164450 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 556164450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759399498).

556164450 is an abundant number, since it is smaller than the sum of its proper divisors (962634546).

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

556164450 is a wasteful number, since it uses less digits than its factorization.

556164450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20340 (or 20332 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 556164450 is about 23583.1391040294. The cubic root of 556164450 is about 822.3709143539.

The spelling of 556164450 in words is "five hundred fifty-six million, one hundred sixty-four thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 61 75 90 122 150 183 225 305 366 450 549 610 915 1098 1525 1830 2745 3050 4575 5490 9150 13725 20261 27450 40522 60783 101305 121566 182349 202610 303915 364698 506525 607830 911745 1013050 1235921 1519575 1823490 2471842 3039150 3707763 4558725 6179605 7415526 9117450 11123289 12359210 18538815 22246578 30898025 37077630 55616445 61796050 92694075 111232890 185388150 278082225 556164450