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2580557472 = 253213168399
BaseRepresentation
bin1001100111010000…
…0010111010100000
320122211202220100200
42121310002322200
520241110314342
61104022145200
7120643243113
oct23164027240
96584686320
102580557472
111104726029
12600282200
133218264ac
141a6a2057a
1510183e94c
hex99d02ea0

2580557472 has 72 divisors (see below), whose sum is σ = 7394587200. Its totient is φ = 853607040.

The previous prime is 2580557467. The next prime is 2580557477. The reversal of 2580557472 is 2747550852.

2580557472 is a `hidden beast` number, since 2 + 5 + 8 + 0 + 5 + 574 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (2580557467) and next prime (2580557477).

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

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2580557477) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3529 + ... + 71927.

It is an arithmetic number, because the mean of its divisors is an integer number (102702600).

Almost surely, 22580557472 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 2580557472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3697293600).

2580557472 is an abundant number, since it is smaller than the sum of its proper divisors (4814029728).

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

2580557472 is a wasteful number, since it uses less digits than its factorization.

2580557472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68546 (or 68535 counting only the distinct ones).

The product of its (nonzero) digits is 784000, while the sum is 45.

The square root of 2580557472 is about 50799.1877100412. The cubic root of 2580557472 is about 1371.6327474285.

The spelling of 2580557472 in words is "two billion, five hundred eighty million, five hundred fifty-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 131 144 262 288 393 524 786 1048 1179 1572 2096 2358 3144 4192 4716 6288 9432 12576 18864 37728 68399 136798 205197 273596 410394 547192 615591 820788 1094384 1231182 1641576 2188768 2462364 3283152 4924728 6566304 8960269 9849456 17920538 19698912 26880807 35841076 53761614 71682152 80642421 107523228 143364304 161284842 215046456 286728608 322569684 430092912 645139368 860185824 1290278736 2580557472