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2045256252 = 2231323797281
BaseRepresentation
bin111100111101000…
…0010001000111100
312021112111210010120
41321322002020330
513142041200002
6534540534540
7101453251134
oct17172021074
95245453116
102045256252
1195a548326
12490b51450
13267961500
141558b9ac4
15be851cbc
hex79e8223c

2045256252 has 144 divisors (see below), whose sum is σ = 5381060832. Its totient is φ = 603832320.

The previous prime is 2045256139. The next prime is 2045256287. The reversal of 2045256252 is 2526525402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7278352 + ... + 7278632.

It is an arithmetic number, because the mean of its divisors is an integer number (37368478).

Almost surely, 22045256252 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 2045256252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2690530416).

2045256252 is an abundant number, since it is smaller than the sum of its proper divisors (3335804580).

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

2045256252 is a wasteful number, since it uses less digits than its factorization.

2045256252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 33.

The square root of 2045256252 is about 45224.5094169080. The cubic root of 2045256252 is about 1269.3534750473.

The spelling of 2045256252 in words is "two billion, forty-five million, two hundred fifty-six thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 13 26 37 39 52 74 78 97 111 148 156 169 194 222 281 291 338 388 444 481 507 562 582 676 843 962 1014 1124 1164 1261 1443 1686 1924 2028 2522 2886 3372 3589 3653 3783 5044 5772 6253 7178 7306 7566 10397 10767 10959 12506 14356 14612 15132 16393 18759 20794 21534 21918 25012 27257 31191 32786 37518 41588 43068 43836 46657 47489 49179 54514 62382 65572 75036 81771 93314 94978 98358 109028 124764 135161 139971 142467 163542 186628 189956 196716 270322 279942 284934 327084 354341 405483 540644 559884 569868 606541 708682 810966 1008509 1063023 1213082 1417364 1621932 1757093 1819623 2017018 2126046 2426164 3025527 3514186 3639246 4034036 4252092 4606433 5271279 6051054 7028372 7278492 9212866 10542558 12102108 13110617 13819299 18425732 21085116 26221234 27638598 39331851 52442468 55277196 78663702 157327404 170438021 340876042 511314063 681752084 1022628126 2045256252