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5251421040 = 2435174131393
BaseRepresentation
bin1001110010000001…
…00101001101110000
3111112222110211101120
410321000211031300
541223330433130
62225032102240
7244064225265
oct47100451560
914488424346
105251421040
112255321398
121026834980
13658c7b038
1437b62b26c
1520b06b910
hex139025370

5251421040 has 160 divisors (see below), whose sum is σ = 17657994816. Its totient is φ = 1285816320.

The previous prime is 5251421029. The next prime is 5251421069. The reversal of 5251421040 is 401241525.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 5251421040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151584 + ... + 182976.

Almost surely, 25251421040 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 5251421040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8828997408).

5251421040 is an abundant number, since it is smaller than the sum of its proper divisors (12406573776).

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

5251421040 is a wasteful number, since it uses less digits than its factorization.

5251421040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31467 (or 31461 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 5251421040 is about 72466.6891750962. The cubic root of 5251421040 is about 1738.1701201352.

Adding to 5251421040 its reverse (401241525), we get a palindrome (5652662565).

The spelling of 5251421040 in words is "five billion, two hundred fifty-one million, four hundred twenty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 41 48 51 60 68 80 82 85 102 120 123 136 164 170 204 205 240 246 255 272 328 340 408 410 492 510 615 656 680 697 816 820 984 1020 1230 1360 1394 1640 1968 2040 2091 2460 2788 3280 3485 4080 4182 4920 5576 6970 8364 9840 10455 11152 13940 16728 20910 27880 31393 33456 41820 55760 62786 83640 94179 125572 156965 167280 188358 251144 313930 376716 470895 502288 533681 627860 753432 941790 1067362 1255720 1287113 1506864 1601043 1883580 2134724 2511440 2574226 2668405 3202086 3767160 3861339 4269448 5148452 5336810 6404172 6435565 7534320 7722678 8005215 8538896 10296904 10673620 12808344 12871130 15445356 16010430 19306695 20593808 21347240 21880921 25616688 25742260 30890712 32020860 38613390 42694480 43761842 51484520 61781424 64041720 65642763 77226780 87523684 102969040 109404605 128083440 131285526 154453560 175047368 218809210 262571052 308907120 328213815 350094736 437618420 525142104 656427630 875236840 1050284208 1312855260 1750473680 2625710520 5251421040