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3025580256 = 25334774507
BaseRepresentation
bin1011010001010110…
…1011000011100000
321210212011101212000
42310111223003200
522144022032011
61220120404000
7134656002456
oct26425530340
97725141760
103025580256
111312952256
12705316600
13392a9c89a
14209b849d6
1512a948356
hexb456b0e0

3025580256 has 96 divisors (see below), whose sum is σ = 9012487680. Its totient is φ = 987055488.

The previous prime is 3025580231. The next prime is 3025580269. The reversal of 3025580256 is 6520855203.

It is a happy number.

3025580256 is a `hidden beast` number, since 3 + 0 + 25 + 580 + 2 + 56 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3025580256.

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, 3355 + ... + 77861.

It is an arithmetic number, because the mean of its divisors is an integer number (93880080).

Almost surely, 23025580256 is an apocalyptic number.

3025580256 is a gapful number since it is divisible by the number (36) 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 3025580256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4506243840).

3025580256 is an abundant number, since it is smaller than the sum of its proper divisors (5986907424).

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

3025580256 is a wasteful number, since it uses less digits than its factorization.

3025580256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74573 (or 74559 counting only the distinct ones).

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

The square root of 3025580256 is about 55005.2748016043. The cubic root of 3025580256 is about 1446.3372089375.

The spelling of 3025580256 in words is "three billion, twenty-five million, five hundred eighty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 47 48 54 72 94 96 108 141 144 188 216 282 288 376 423 432 564 752 846 864 1128 1269 1504 1692 2256 2538 3384 4512 5076 6768 10152 13536 20304 40608 74507 149014 223521 298028 447042 596056 670563 894084 1192112 1341126 1788168 2011689 2384224 2682252 3501829 3576336 4023378 5364504 7003658 7152672 8046756 10505487 10729008 14007316 16093512 21010974 21458016 28014632 31516461 32187024 42021948 56029264 63032922 64374048 84043896 94549383 112058528 126065844 168087792 189098766 252131688 336175584 378197532 504263376 756395064 1008526752 1512790128 3025580256