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2053641252 = 22313312711567
BaseRepresentation
bin111101001101000…
…0001010000100100
312022010021210012010
41322122001100210
513201213010002
6535440354220
7101614443165
oct17232012044
95263253163
102053641252
11964255083
12493915970
13269608c50
14156a5d76c
15c045b46c
hex7a681424

2053641252 has 96 divisors (see below), whose sum is σ = 5349965824. Its totient is φ = 608860800.

The previous prime is 2053641241. The next prime is 2053641287. The reversal of 2053641252 is 2521463502.

It is a super-2 number, since 2×20536412522 = 8434884783832255008, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1309773 + ... + 1311339.

Almost surely, 22053641252 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 2053641252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2674982912).

2053641252 is an abundant number, since it is smaller than the sum of its proper divisors (3296324572).

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

2053641252 is a wasteful number, since it uses less digits than its factorization.

2053641252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1889 (or 1887 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 2053641252 is about 45317.1187521890. The cubic root of 2053641252 is about 1271.0857790418.

The spelling of 2053641252 in words is "two billion, fifty-three million, six hundred forty-one thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 13 26 31 39 52 62 78 93 124 156 186 271 372 403 542 806 813 1084 1209 1567 1612 1626 2418 3134 3252 3523 4701 4836 6268 7046 8401 9402 10569 14092 16802 18804 20371 21138 25203 33604 40742 42276 48577 50406 61113 81484 97154 100812 109213 122226 145731 194308 218426 244452 291462 327639 424657 436852 582924 631501 655278 849314 1263002 1273971 1310556 1698628 1894503 2526004 2547942 3789006 5095884 5520541 7578012 11041082 13164367 16561623 22082164 26328734 33123246 39493101 52657468 66246492 78986202 157972404 171136771 342273542 513410313 684547084 1026820626 2053641252