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5674604256 = 253354712007
BaseRepresentation
bin1010100100011101…
…11001011011100000
3112122110202202122000
411102032321123200
543110144314011
62335030244000
7260423224506
oct52216713340
915573682560
105674604256
112452191192
1211244b6600
136c58488c9
143bb908676
152332ae356
hex1523b96e0

5674604256 has 96 divisors (see below), whose sum is σ = 16582567680. Its totient is φ = 1887919488.

The previous prime is 5674604231. The next prime is 5674604291. The reversal of 5674604256 is 6524064765.

5674604256 is a `hidden beast` number, since 567 + 4 + 60 + 4 + 25 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×56746042562 = 64402266924426627072, which contains 22 as substring.

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 466605 + ... + 478611.

It is an arithmetic number, because the mean of its divisors is an integer number (172735080).

Almost surely, 25674604256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5674604256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8291283840).

5674604256 is an abundant number, since it is smaller than the sum of its proper divisors (10907963424).

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

5674604256 is a wasteful number, since it uses less digits than its factorization.

5674604256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12573 (or 12559 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The square root of 5674604256 is about 75329.9691756209. The cubic root of 5674604256 is about 1783.6591243454.

The spelling of 5674604256 in words is "five billion, six hundred seventy-four million, six hundred four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 547 864 1094 1641 2188 3282 4376 4923 6564 8752 9846 12007 13128 14769 17504 19692 24014 26256 29538 36021 39384 48028 52512 59076 72042 78768 96056 108063 118152 144084 157536 192112 216126 236304 288168 324189 384224 432252 472608 576336 648378 864504 1152672 1296756 1729008 2593512 3458016 5187024 6567829 10374048 13135658 19703487 26271316 39406974 52542632 59110461 78813948 105085264 118220922 157627896 177331383 210170528 236441844 315255792 354662766 472883688 630511584 709325532 945767376 1418651064 1891534752 2837302128 5674604256