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5748824040 = 23351722312637
BaseRepresentation
bin1010101101010100…
…00001011111101000
3112211122102112000220
411112222001133220
543233144332130
62350241130040
7262314124641
oct52652013750
915748375026
105748824040
112490074653
121145329920
1370803403b
143c77086c8
15239a70410
hex156a817e8

5748824040 has 128 divisors (see below), whose sum is σ = 18344309760. Its totient is φ = 1436258304.

The previous prime is 5748824009. The next prime is 5748824089. The reversal of 5748824040 is 404288475.

It is a Cunningham number, because it is equal to 758212-1.

It is a junction number, because it is equal to n+sod(n) for n = 5748823983 and 5748824001.

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, 448602 + ... + 461238.

It is an arithmetic number, because the mean of its divisors is an integer number (143314920).

Almost surely, 25748824040 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 5748824040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9172154880).

5748824040 is an abundant number, since it is smaller than the sum of its proper divisors (12595485720).

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

5748824040 is a wasteful number, since it uses less digits than its factorization.

5748824040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12891 (or 12887 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 42.

The square root of 5748824040 is about 75820.9999934055. Note that the first 5 decimals coincide. The cubic root of 5748824040 is about 1791.4017961384.

The spelling of 5748824040 in words is "five billion, seven hundred forty-eight million, eight hundred twenty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 223 255 340 408 446 510 669 680 892 1020 1115 1338 1784 2040 2230 2676 3345 3791 4460 5352 6690 7582 8920 11373 12637 13380 15164 18955 22746 25274 26760 30328 37910 37911 45492 50548 56865 63185 75820 75822 90984 101096 113730 126370 151640 151644 189555 214829 227460 252740 303288 379110 429658 454920 505480 644487 758220 859316 1074145 1288974 1516440 1718632 2148290 2577948 2818051 3222435 4296580 5155896 5636102 6444870 8454153 8593160 11272204 12889740 14090255 16908306 22544408 25779480 28180510 33816612 42270765 47906867 56361020 67633224 84541530 95813734 112722040 143720601 169083060 191627468 239534335 287441202 338166120 383254936 479068670 574882404 718603005 958137340 1149764808 1437206010 1916274680 2874412020 5748824040