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5741283408 = 243736746559
BaseRepresentation
bin1010101100011010…
…10000100001010000
3112211010020102020020
411112031100201100
543224232032113
62345411343440
7262163050410
oct52615204120
915733212206
105741283408
112486894223
1211428b1b80
137065c3a23
143c6704640
15239081023
hex156350850

5741283408 has 80 divisors (see below), whose sum is σ = 16997007360. Its totient is φ = 1635861888.

The previous prime is 5741283407. The next prime is 5741283413. The reversal of 5741283408 is 8043821475.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 5741283408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5741283407) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100033 + ... + 146591.

It is an arithmetic number, because the mean of its divisors is an integer number (212462592).

Almost surely, 25741283408 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 5741283408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8498503680).

5741283408 is an abundant number, since it is smaller than the sum of its proper divisors (11255723952).

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

5741283408 is a wasteful number, since it uses less digits than its factorization.

5741283408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46944 (or 46938 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The square root of 5741283408 is about 75771.2571361991. The cubic root of 5741283408 is about 1790.6182032898.

The spelling of 5741283408 in words is "five billion, seven hundred forty-one million, two hundred eighty-three thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 367 734 1101 1468 2202 2569 2936 4404 5138 5872 7707 8808 10276 15414 17616 20552 30828 41104 46559 61656 93118 123312 139677 186236 279354 325913 372472 558708 651826 744944 977739 1117416 1303652 1955478 2234832 2607304 3910956 5214608 7821912 15643824 17087153 34174306 51261459 68348612 102522918 119610071 136697224 205045836 239220142 273394448 358830213 410091672 478440284 717660426 820183344 956880568 1435320852 1913761136 2870641704 5741283408