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5734905488 = 241321131372
BaseRepresentation
bin1010101011101001…
…11011011010010000
3112210200020101100222
411111310323122100
543221113433423
62345022532212
7262054615034
oct52564733220
915720211328
105734905488
112483228414
121140737068
1370519ca00
143c59241c4
152387213c8
hex155d3b690

5734905488 has 90 divisors (see below), whose sum is σ = 12227572854. Its totient is φ = 2604306432.

The previous prime is 5734905487. The next prime is 5734905493. The reversal of 5734905488 is 8845094375.

It can be written as a sum of positive squares in 9 ways, for example, as 4172126464 + 1562779024 = 64592^2 + 39532^2 .

It is not an unprimeable number, because it can be changed into a prime (5734905487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 41860556 + ... + 41860692.

Almost surely, 25734905488 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 5734905488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6113786427).

5734905488 is an abundant number, since it is smaller than the sum of its proper divisors (6492667366).

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

5734905488 is a wasteful number, since it uses less digits than its factorization.

5734905488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 53.

The square root of 5734905488 is about 75729.1587699216. The cubic root of 5734905488 is about 1789.9548991477.

The spelling of 5734905488 in words is "five billion, seven hundred thirty-four million, nine hundred five thousand, four hundred eighty-eight".

Divisors: 1 2 4 8 13 16 26 52 104 113 137 169 208 226 274 338 452 548 676 904 1096 1352 1469 1781 1808 2192 2704 2938 3562 5876 7124 11752 14248 15481 18769 19097 23153 23504 28496 30962 37538 38194 46306 61924 75076 76388 92612 123848 150152 152776 185224 201253 243997 247696 300304 305552 370448 402506 487994 805012 975988 1610024 1951976 2120897 2616289 3171961 3220048 3903952 4241794 5232578 6343922 8483588 10465156 12687844 16967176 20930312 25375688 27571661 33934352 41860624 50751376 55143322 110286644 220573288 358431593 441146576 716863186 1433726372 2867452744 5734905488