Search a number
-
+
2572803996 = 223727161627
BaseRepresentation
bin1001100101011001…
…1101111110011100
320122022011222120220
42121112131332130
520232114211441
61103144041340
7120520321200
oct23126357634
96568158526
102572803996
11110030a7a4
125b9763250
13320040339
141a59a2b00
15100d0c466
hex9959df9c

2572803996 has 72 divisors (see below), whose sum is σ = 7081796736. Its totient is φ = 724721760.

The previous prime is 2572803971. The next prime is 2572804019. The reversal of 2572803996 is 6993082752.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10935 + ... + 72561.

It is an arithmetic number, because the mean of its divisors is an integer number (98358288).

Almost surely, 22572803996 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 2572803996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3540898368).

2572803996 is an abundant number, since it is smaller than the sum of its proper divisors (4508992740).

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

2572803996 is a wasteful number, since it uses less digits than its factorization.

2572803996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61719 (or 61710 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 51.

The square root of 2572803996 is about 50722.8153398448. The cubic root of 2572803996 is about 1370.2576452584.

The spelling of 2572803996 in words is "two billion, five hundred seventy-two million, eight hundred three thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 71 84 98 142 147 196 213 284 294 426 497 588 852 994 1491 1988 2982 3479 5964 6958 10437 13916 20874 41748 61627 123254 184881 246508 369762 431389 739524 862778 1294167 1725556 2588334 3019723 4375517 5176668 6039446 8751034 9059169 12078892 13126551 17502068 18118338 26253102 30628619 36236676 52506204 61257238 91885857 122514476 183771714 214400333 367543428 428800666 643200999 857601332 1286401998 2572803996