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5783040744 = 2331327092011
BaseRepresentation
bin1010110001011001…
…00011001011101000
3112221000210220112020
411120230203023220
543320424300434
62353502344440
7263211015045
oct53054431350
915830726466
105783040744
1124a8415118
12115488b120
13712154400
143cc0941cc
1523ca7d849
hex158b232e8

5783040744 has 96 divisors (see below), whose sum is σ = 15685149600. Its totient is φ = 1776003840.

The previous prime is 5783040743. The next prime is 5783040761. The reversal of 5783040744 is 4470403875.

It is a junction number, because it is equal to n+sod(n) for n = 5783040696 and 5783040705.

It is not an unprimeable number, because it can be changed into a prime (5783040743) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2874699 + ... + 2876709.

It is an arithmetic number, because the mean of its divisors is an integer number (163386975).

Almost surely, 25783040744 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 5783040744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7842574800).

5783040744 is an abundant number, since it is smaller than the sum of its proper divisors (9902108856).

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

5783040744 is a wasteful number, since it uses less digits than its factorization.

5783040744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2755 (or 2738 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 42.

The square root of 5783040744 is about 76046.3065769798. The cubic root of 5783040744 is about 1794.9488784152.

The spelling of 5783040744 in words is "five billion, seven hundred eighty-three million, forty thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 169 312 338 507 676 709 1014 1352 1418 2011 2028 2127 2836 4022 4056 4254 5672 6033 8044 8508 9217 12066 16088 17016 18434 24132 26143 27651 36868 48264 52286 55302 73736 78429 104572 110604 119821 156858 209144 221208 239642 313716 339859 359463 479284 627432 679718 718926 958568 1019577 1359436 1425799 1437852 2039154 2718872 2851598 2875704 4078308 4277397 5703196 8156616 8554794 11406392 17109588 18535387 34219176 37070774 55606161 74141548 111212322 148283096 222424644 240960031 444849288 481920062 722880093 963840124 1445760186 1927680248 2891520372 5783040744