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5245591296 = 283113531759
BaseRepresentation
bin1001110001010100…
…10101111100000000
3111112120111122111010
410320222111330000
541220332410141
62224303120520
7243663535041
oct47052257400
914476448433
105245591296
112251aaa420
1210248a3140
136579b969a
1437a9508c8
1520a7b9416
hex138a95f00

5245591296 has 144 divisors (see below), whose sum is σ = 15281925120. Its totient is φ = 1584168960.

The previous prime is 5245591279. The next prime is 5245591297. The reversal of 5245591296 is 6921955425.

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 (5245591297) 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, 2981265 + ... + 2983023.

It is an arithmetic number, because the mean of its divisors is an integer number (106124480).

Almost surely, 25245591296 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 5245591296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7640962560).

5245591296 is an abundant number, since it is smaller than the sum of its proper divisors (10036333824).

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

5245591296 is a wasteful number, since it uses less digits than its factorization.

5245591296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2142 (or 2128 counting only the distinct ones).

The product of its digits is 972000, while the sum is 48.

The square root of 5245591296 is about 72426.4543934052. The cubic root of 5245591296 is about 1737.5266854829.

The spelling of 5245591296 in words is "five billion, two hundred forty-five million, five hundred ninety-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 353 384 528 704 706 768 1056 1059 1408 1412 1759 2112 2118 2816 2824 3518 3883 4224 4236 5277 5648 7036 7766 8448 8472 10554 11296 11649 14072 15532 16944 19349 21108 22592 23298 28144 31064 33888 38698 42216 45184 46596 56288 58047 62128 67776 77396 84432 90368 93192 112576 116094 124256 135552 154792 168864 186384 225152 232188 248512 271104 309584 337728 372768 450304 464376 497024 619168 620927 675456 745536 928752 994048 1238336 1241854 1350912 1491072 1857504 1862781 2476672 2483708 2982144 3715008 3725562 4953344 4967416 6830197 7430016 7451124 9934832 13660394 14860032 14902248 19869664 20490591 27320788 29804496 39739328 40981182 54641576 59608992 79478656 81962364 109283152 119217984 158957312 163924728 218566304 238435968 327849456 437132608 476871936 655698912 874265216 1311397824 1748530432 2622795648 5245591296