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2552257056 = 253172953927
BaseRepresentation
bin1001100000100000…
…0101101000100000
320120212112002111010
42120020011220200
520211334211211
61101131420520
7120150553446
oct23010055040
96525462433
102552257056
11109a756558
125b28b4740
133189c7c9b
141a2d74b96
15ee0ee4a6
hex98205a20

2552257056 has 96 divisors (see below), whose sum is σ = 7338522240. Its totient is φ = 773083136.

The previous prime is 2552257051. The next prime is 2552257067. The reversal of 2552257056 is 6507522552.

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

It is not an unprimeable number, because it can be changed into a prime (2552257051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20365 + ... + 74291.

It is an arithmetic number, because the mean of its divisors is an integer number (76442940).

Almost surely, 22552257056 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 2552257056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3669261120).

2552257056 is an abundant number, since it is smaller than the sum of its proper divisors (4786265184).

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

2552257056 is a wasteful number, since it uses less digits than its factorization.

2552257056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53986 (or 53978 counting only the distinct ones).

The product of its (nonzero) digits is 210000, while the sum is 39.

The square root of 2552257056 is about 50519.8679333191. The cubic root of 2552257056 is about 1366.6001720044.

The spelling of 2552257056 in words is "two billion, five hundred fifty-two million, two hundred fifty-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 29 32 34 48 51 58 68 87 96 102 116 136 174 204 232 272 348 408 464 493 544 696 816 928 986 1392 1479 1632 1972 2784 2958 3944 5916 7888 11832 15776 23664 47328 53927 107854 161781 215708 323562 431416 647124 862832 916759 1294248 1563883 1725664 1833518 2588496 2750277 3127766 3667036 4691649 5176992 5500554 6255532 7334072 9383298 11001108 12511064 14668144 18766596 22002216 25022128 26586011 29336288 37533192 44004432 50044256 53172022 75066384 79758033 88008864 106344044 150132768 159516066 212688088 319032132 425376176 638064264 850752352 1276128528 2552257056