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2568295920 = 243523465271
BaseRepresentation
bin1001100100010101…
…0001010111110000
320121222200221200010
42121011101113300
520224440432140
61102503254520
7120434104131
oct23105212760
96558627603
102568295920
1110a8810813
125b814a440
1331c122438
141a514bc88
1510071b880
hex991515f0

2568295920 has 80 divisors (see below), whose sum is σ = 8307896832. Its totient is φ = 655100160.

The previous prime is 2568295909. The next prime is 2568295937. The reversal of 2568295920 is 295928652.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×25682959202 = 13192287865377292800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2568295920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 227116 + ... + 238155.

Almost surely, 22568295920 is an apocalyptic number.

2568295920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2568295920 is an abundant number, since it is smaller than the sum of its proper divisors (5739600912).

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

2568295920 is a wasteful number, since it uses less digits than its factorization.

2568295920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465310 (or 465304 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 48.

The square root of 2568295920 is about 50678.3575108744. The cubic root of 2568295920 is about 1369.4568539753.

The spelling of 2568295920 in words is "two billion, five hundred sixty-eight million, two hundred ninety-five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 552 690 920 1104 1380 1840 2760 5520 465271 930542 1395813 1861084 2326355 2791626 3722168 4652710 5583252 6979065 7444336 9305420 10701233 11166504 13958130 18610840 21402466 22333008 27916260 32103699 37221680 42804932 53506165 55832520 64207398 85609864 107012330 111665040 128414796 160518495 171219728 214024660 256829592 321036990 428049320 513659184 642073980 856098640 1284147960 2568295920