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5740856832 = 29334710771
BaseRepresentation
bin1010101100010111…
…01000011000000000
3112211002102202002010
411112023220120000
543224124404312
62345354252520
7262156322634
oct52613503000
915732382063
105740856832
112486622787
121142727140
137064a4809
143c6632dc4
15238ee993c
hex1562e8600

5740856832 has 80 divisors (see below), whose sum is σ = 15339500352. Its totient is φ = 1907927040.

The previous prime is 5740856831. The next prime is 5740856887. The reversal of 5740856832 is 2386580475.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5740856831) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 527607 + ... + 538377.

Almost surely, 25740856832 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 5740856832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7669750176).

5740856832 is an abundant number, since it is smaller than the sum of its proper divisors (9598643520).

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

5740856832 is a wasteful number, since it uses less digits than its factorization.

5740856832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11139 (or 11123 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 48.

The square root of 5740856832 is about 75768.4421906640. The cubic root of 5740856832 is about 1790.5738546883.

The spelling of 5740856832 in words is "five billion, seven hundred forty million, eight hundred fifty-six thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 347 384 512 694 768 1041 1388 1536 2082 2776 4164 5552 8328 10771 11104 16656 21542 22208 32313 33312 43084 44416 64626 66624 86168 88832 129252 133248 172336 177664 258504 266496 344672 517008 532992 689344 1034016 1378688 2068032 2757376 3737537 4136064 5514752 7475074 8272128 11212611 14950148 16544256 22425222 29900296 44850444 59800592 89700888 119601184 179401776 239202368 358803552 478404736 717607104 956809472 1435214208 1913618944 2870428416 5740856832