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3625056 = 253241307
BaseRepresentation
bin1101110101000001100000
320211011122100
431311001200
51412000211
6205410400
742545451
oct15650140
96734570
103625056
112056616
121269a00
1399c006
146a5128
154b9156
hex375060

3625056 has 72 divisors (see below), whose sum is σ = 10594584. Its totient is φ = 1175040.

The previous prime is 3625051. The next prime is 3625079. The reversal of 3625056 is 6505263.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3625051) 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, 11655 + ... + 11961.

It is an arithmetic number, because the mean of its divisors is an integer number (147147).

Almost surely, 23625056 is an apocalyptic number.

3625056 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 3625056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5297292).

3625056 is an abundant number, since it is smaller than the sum of its proper divisors (6969528).

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

3625056 is a wasteful number, since it uses less digits than its factorization.

3625056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 3625056 is about 1903.9579827297. The cubic root of 3625056 is about 153.6166323135.

The spelling of 3625056 in words is "three million, six hundred twenty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 72 82 96 123 144 164 246 288 307 328 369 492 614 656 738 921 984 1228 1312 1476 1842 1968 2456 2763 2952 3684 3936 4912 5526 5904 7368 9824 11052 11808 12587 14736 22104 25174 29472 37761 44208 50348 75522 88416 100696 113283 151044 201392 226566 302088 402784 453132 604176 906264 1208352 1812528 3625056