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247074256 = 24112139817
BaseRepresentation
bin11101011101000…
…00110111010000
3122012220200011101
432232200313100
51001222334011
640303354144
76060045052
oct1656406720
9565820141
10247074256
11117515600
126a8b2954
133c259ab0
1424b578d2
1516a572c1
hexeba0dd0

247074256 has 60 divisors (see below), whose sum is σ = 566714596. Its totient is φ = 103656960.

The previous prime is 247074251. The next prime is 247074281. The reversal of 247074256 is 652470742.

247074256 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 161696656 + 85377600 = 12716^2 + 9240^2 .

It is a super-2 number, since 2×2470742562 = 122091375955907072, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (247074251) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20260 + ... + 30076.

Almost surely, 2247074256 is an apocalyptic number.

247074256 is a gapful number since it is divisible by the number (26) 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 247074256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283357298).

247074256 is an abundant number, since it is smaller than the sum of its proper divisors (319640340).

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

247074256 is a wasteful number, since it uses less digits than its factorization.

247074256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9860 (or 9843 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 37.

The square root of 247074256 is about 15718.5958660435. The cubic root of 247074256 is about 627.4934045856.

The spelling of 247074256 in words is "two hundred forty-seven million, seventy-four thousand, two hundred fifty-six".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 121 143 176 208 242 286 484 572 968 1144 1573 1936 2288 3146 6292 9817 12584 19634 25168 39268 78536 107987 127621 157072 215974 255242 431948 510484 863896 1020968 1187857 1403831 1727792 2041936 2375714 2807662 4751428 5615324 9502856 11230648 15442141 19005712 22461296 30884282 61768564 123537128 247074256