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494316240 = 2435111131657
BaseRepresentation
bin11101011101101…
…010101011010000
31021110010212101220
4131131222223100
52003021104430
6121014525040
715151422135
oct3535525320
91243125356
10494316240
11234035120
12119666780
137b545022
144991658c
152d5e4110
hex1d76aad0

494316240 has 160 divisors (see below), whose sum is σ = 1687499136. Its totient is φ = 118702080.

The previous prime is 494316233. The next prime is 494316247. The reversal of 494316240 is 42613494.

It is an interprime number because it is at equal distance from previous prime (494316233) and next prime (494316247).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (494316247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 297492 + ... + 299148.

Almost surely, 2494316240 is an apocalyptic number.

494316240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 494316240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843749568).

494316240 is an abundant number, since it is smaller than the sum of its proper divisors (1193182896).

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

494316240 is a wasteful number, since it uses less digits than its factorization.

494316240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1797 (or 1791 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 494316240 is about 22233.2237878361. The cubic root of 494316240 is about 790.6815887777.

The spelling of 494316240 in words is "four hundred ninety-four million, three hundred sixteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 113 120 132 165 176 220 226 240 264 330 339 440 452 528 565 660 678 880 904 1130 1243 1320 1356 1657 1695 1808 2260 2486 2640 2712 3314 3390 3729 4520 4971 4972 5424 6215 6628 6780 7458 8285 9040 9942 9944 12430 13256 13560 14916 16570 18227 18645 19884 19888 24855 24860 26512 27120 29832 33140 36454 37290 39768 49710 49720 54681 59664 66280 72908 74580 79536 91135 99420 99440 109362 132560 145816 149160 182270 187241 198840 218724 273405 291632 298320 364540 374482 397680 437448 546810 561723 729080 748964 874896 936205 1093620 1123446 1458160 1497928 1872410 2059651 2187240 2246892 2808615 2995856 3744820 4119302 4374480 4493784 5617230 6178953 7489640 8238604 8987568 10298255 11234460 12357906 14979280 16477208 20596510 22468920 24715812 30894765 32954416 41193020 44937840 49431624 61789530 82386040 98863248 123579060 164772080 247158120 494316240