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5254591440 = 243572446819
BaseRepresentation
bin1001110010011001…
…01011001111010000
3111120012102220100210
410321030223033100
541230133411230
62225224044120
7244133201400
oct47114531720
914505386323
105254591440
11225709735a
121027903640
1365981b107
1437bc14800
1520b495eb0
hex13932b3d0

5254591440 has 120 divisors (see below), whose sum is σ = 18948742560. Its totient is φ = 1201046784.

The previous prime is 5254591411. The next prime is 5254591451. The reversal of 5254591440 is 441954525.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×52545914402 = 55221462402642547200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 211650 + ... + 235169.

It is an arithmetic number, because the mean of its divisors is an integer number (157906188).

Almost surely, 25254591440 is an apocalyptic number.

It is an amenable number.

5254591440 is an abundant number, since it is smaller than the sum of its proper divisors (13694151120).

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

5254591440 is a wasteful number, since it uses less digits than its factorization.

5254591440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446849 (or 446836 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 39.

The square root of 5254591440 is about 72488.5607527146. The cubic root of 5254591440 is about 1738.5198404555.

It can be divided in two parts, 525 and 4591440, that added together give a triangular number (4591965 = T3030).

The spelling of 5254591440 in words is "five billion, two hundred fifty-four million, five hundred ninety-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 49 56 60 70 80 84 98 105 112 120 140 147 168 196 210 240 245 280 294 336 392 420 490 560 588 735 784 840 980 1176 1470 1680 1960 2352 2940 3920 5880 11760 446819 893638 1340457 1787276 2234095 2680914 3127733 3574552 4468190 5361828 6255466 6702285 7149104 8936380 9383199 10723656 12510932 13404570 15638665 17872760 18766398 21447312 21894131 25021864 26809140 31277330 35745520 37532796 43788262 46915995 50043728 53618280 62554660 65682393 75065592 87576524 93831990 107236560 109470655 125109320 131364786 150131184 175153048 187663980 218941310 250218640 262729572 328411965 350306096 375327960 437882620 525459144 656823930 750655920 875765240 1050918288 1313647860 1751530480 2627295720 5254591440