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2652904540 = 2251113271353
BaseRepresentation
bin1001111000100000…
…0001110001011100
320211212220111212201
42132020001301130
520413120421130
61115124541244
7122512213366
oct23610016134
96755814781
102652904540
11114154a4a0
12620551824
13333807400
141b2493d36
15107d80bca
hex9e201c5c

2652904540 has 72 divisors (see below), whose sum is σ = 6581122128. Its totient is φ = 890472960.

The previous prime is 2652904537. The next prime is 2652904603. The reversal of 2652904540 is 454092562.

It is a super-2 number, since 2×26529045402 = 14075804996705223200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2652904540.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1504 + ... + 72856.

It is an arithmetic number, because the mean of its divisors is an integer number (91404474).

Almost surely, 22652904540 is an apocalyptic number.

2652904540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2652904540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3290561064).

2652904540 is an abundant number, since it is smaller than the sum of its proper divisors (3928217588).

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

2652904540 is a wasteful number, since it uses less digits than its factorization.

2652904540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71399 (or 71384 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

The square root of 2652904540 is about 51506.3543652625. The cubic root of 2652904540 is about 1384.3329017257.

The spelling of 2652904540 in words is "two billion, six hundred fifty-two million, nine hundred four thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 169 220 260 286 338 572 676 715 845 1430 1690 1859 2860 3380 3718 7436 9295 18590 37180 71353 142706 285412 356765 713530 784883 927589 1427060 1569766 1855178 3139532 3710356 3924415 4637945 7848830 9275890 10203479 12058657 15697660 18551780 20406958 24117314 40813916 48234628 51017395 60293285 102034790 120586570 132645227 204069580 241173140 265290454 530580908 663226135 1326452270 2652904540