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2555200752 = 2431313992927
BaseRepresentation
bin1001100001001101…
…0100010011110000
320121002001122110220
42120103110103300
520213112411002
61101314453040
7120214563606
oct23023242360
96532048426
102555200752
1110a1387165
125b3894180
133194b8b10
141a34dd876
15ee4d17bc
hex984d44f0

2555200752 has 80 divisors (see below), whose sum is σ = 7116211200. Its totient is φ = 785385216.

The previous prime is 2555200679. The next prime is 2555200771. The reversal of 2555200752 is 2570025552.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 871513 + ... + 874439.

It is an arithmetic number, because the mean of its divisors is an integer number (88952640).

Almost surely, 22555200752 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 2555200752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3558105600).

2555200752 is an abundant number, since it is smaller than the sum of its proper divisors (4561010448).

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

2555200752 is a wasteful number, since it uses less digits than its factorization.

2555200752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4350 (or 4344 counting only the distinct ones).

The product of its (nonzero) digits is 35000, while the sum is 33.

The square root of 2555200752 is about 50548.9935804859. The cubic root of 2555200752 is about 1367.1253685590.

The spelling of 2555200752 in words is "two billion, five hundred fifty-five million, two hundred thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 1399 2798 2927 4197 5596 5854 8394 8781 11192 11708 16788 17562 18187 22384 23416 33576 35124 36374 38051 46832 54561 67152 70248 72748 76102 109122 114153 140496 145496 152204 218244 228306 290992 304408 436488 456612 608816 872976 913224 1826448 4094873 8189746 12284619 16379492 24569238 32758984 49138476 53233349 65517968 98276952 106466698 159700047 196553904 212933396 319400094 425866792 638800188 851733584 1277600376 2555200752