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4256615040 = 273517130411
BaseRepresentation
bin1111110110110110…
…1100101010000000
3101222122120110002220
43331231230222000
532204143140130
61542214011040
7210324426246
oct37555545200
911878513086
104256615040
111894825977
129a9646a80
1352ab3c032
142c5472796
1519da64410
hexfdb6ca80

4256615040 has 128 divisors (see below), whose sum is σ = 14366185920. Its totient is φ = 1068318720.

The previous prime is 4256614993. The next prime is 4256615063. The reversal of 4256615040 is 405166524.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 4256614992 and 4256615010.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 32566 + ... + 97845.

Almost surely, 24256615040 is an apocalyptic number.

4256615040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4256615040 is an abundant number, since it is smaller than the sum of its proper divisors (10109570880).

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

4256615040 is a wasteful number, since it uses less digits than its factorization.

4256615040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130450 (or 130438 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 4256615040 is about 65242.7393661548. The cubic root of 4256615040 is about 1620.6458634903.

The spelling of 4256615040 in words is "four billion, two hundred fifty-six million, six hundred fifteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 128 136 160 170 192 204 240 255 272 320 340 384 408 480 510 544 640 680 816 960 1020 1088 1360 1632 1920 2040 2176 2720 3264 4080 5440 6528 8160 10880 16320 32640 130411 260822 391233 521644 652055 782466 1043288 1304110 1564932 1956165 2086576 2216987 2608220 3129864 3912330 4173152 4433974 5216440 6259728 6650961 7824660 8346304 8867948 10432880 11084935 12519456 13301922 15649320 16692608 17735896 20865760 22169870 25038912 26603844 31298640 33254805 35471792 41731520 44339740 50077824 53207688 62597280 66509610 70943584 83463040 88679480 106415376 125194560 133019220 141887168 177358960 212830752 250389120 266038440 283774336 354717920 425661504 532076880 709435840 851323008 1064153760 1418871680 2128307520 4256615040