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5742340032 = 2631113209147
BaseRepresentation
bin1010101100100010…
…10010011111000000
3112211012020002122110
411112101102133000
543230014340112
62345450135320
7262205041062
oct52621223700
915735202573
105742340032
112487446070
121143121540
137068a3950
143c68db732
152391de13c
hex1564527c0

5742340032 has 112 divisors (see below), whose sum is σ = 17849526912. Its totient is φ = 1606241280.

The previous prime is 5742339983. The next prime is 5742340033. The reversal of 5742340032 is 2300432475.

It is a super-2 number, since 2×57423400322 = 65948938086219522048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5742340033) 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, 77118 + ... + 132029.

It is an arithmetic number, because the mean of its divisors is an integer number (159370776).

Almost surely, 25742340032 is an apocalyptic number.

5742340032 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

5742340032 is an abundant number, since it is smaller than the sum of its proper divisors (12107186880).

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

5742340032 is a wasteful number, since it uses less digits than its factorization.

5742340032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209186 (or 209176 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 30.

The square root of 5742340032 is about 75778.2292746406. The cubic root of 5742340032 is about 1790.7280448227.

The spelling of 5742340032 in words is "five billion, seven hundred forty-two million, three hundred forty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 64 66 78 88 96 104 132 143 156 176 192 208 264 286 312 352 416 429 528 572 624 704 832 858 1056 1144 1248 1716 2112 2288 2496 3432 4576 6864 9152 13728 27456 209147 418294 627441 836588 1254882 1673176 2300617 2509764 2718911 3346352 4601234 5019528 5437822 6692704 6901851 8156733 9202468 10039056 10875644 13385408 13803702 16313466 18404936 20078112 21751288 27607404 29908021 32626932 36809872 40156224 43502576 55214808 59816042 65253864 73619744 87005152 89724063 110429616 119632084 130507728 147239488 174010304 179448126 220859232 239264168 261015456 358896252 441718464 478528336 522030912 717792504 957056672 1435585008 1914113344 2871170016 5742340032