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2764444540 = 2251113274353
BaseRepresentation
bin1010010011000110…
…0001001101111100
321010122210022222211
42210301201031330
521130144211130
61134151350204
7125335251034
oct24461411574
97118708884
102764444540
111199503110
12651982364
1335095b700
141c320a8c4
15112a64a2a
hexa4c6137c

2764444540 has 72 divisors (see below), whose sum is σ = 6857818128. Its totient is φ = 927912960.

The previous prime is 2764444537. The next prime is 2764444583. The reversal of 2764444540 is 454444672.

It is a super-2 number, since 2×27644445402 = 15284307229471623200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2764444493 and 2764444502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4 + ... + 74356.

It is an arithmetic number, because the mean of its divisors is an integer number (95247474).

Almost surely, 22764444540 is an apocalyptic number.

2764444540 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 2764444540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3428909064).

2764444540 is an abundant number, since it is smaller than the sum of its proper divisors (4093373588).

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

2764444540 is a wasteful number, since it uses less digits than its factorization.

2764444540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74399 (or 74384 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 40.

The square root of 2764444540 is about 52577.9853170507. The cubic root of 2764444540 is about 1403.4683629596.

The spelling of 2764444540 in words is "two billion, seven hundred sixty-four million, four hundred forty-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 74353 148706 297412 371765 743530 817883 966589 1487060 1635766 1933178 3271532 3866356 4089415 4832945 8178830 9665890 10632479 12565657 16357660 19331780 21264958 25131314 42529916 50262628 53162395 62828285 106324790 125656570 138222227 212649580 251313140 276444454 552888908 691111135 1382222270 2764444540