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2772400540 = 2257131523297
BaseRepresentation
bin1010010100111111…
…0111100110011100
321011012202112120111
42211033313212130
521134213304130
61135034055404
7125463005260
oct24517674634
97135675514
102772400540
1111a2a47618
1265457a564
133524b5ac0
141c42bc0a0
151135d702a
hexa53f799c

2772400540 has 48 divisors (see below), whose sum is σ = 7165593792. Its totient is φ = 877418496.

The previous prime is 2772400537. The next prime is 2772400559. The reversal of 2772400540 is 450042772.

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 15 ways as a sum of consecutive naturals, for example, 759829 + ... + 763468.

It is an arithmetic number, because the mean of its divisors is an integer number (149283204).

Almost surely, 22772400540 is an apocalyptic number.

2772400540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2772400540 is an abundant number, since it is smaller than the sum of its proper divisors (4393193252).

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

2772400540 is a wasteful number, since it uses less digits than its factorization.

2772400540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1523326 (or 1523324 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 31.

The square root of 2772400540 is about 52653.5900010626. The cubic root of 2772400540 is about 1404.8134553056.

The spelling of 2772400540 in words is "two billion, seven hundred seventy-two million, four hundred thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 364 455 910 1820 1523297 3046594 6093188 7616485 10663079 15232970 19802861 21326158 30465940 39605722 42652316 53315395 79211444 99014305 106630790 138620027 198028610 213261580 277240054 396057220 554480108 693100135 1386200270 2772400540