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496295640 = 233351932381
BaseRepresentation
bin11101100101001…
…101111011011000
31021120212102122000
4131211031323120
52004022430030
6121125201000
715204305031
oct3545157330
91246772560
10496295640
11235167295
1211a260160
137ba88c79
1449cada88
152d885860
hex1d94ded8

496295640 has 128 divisors (see below), whose sum is σ = 1663588800. Its totient is φ = 131604480.

The previous prime is 496295629. The next prime is 496295659. The reversal of 496295640 is 46592694.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 207250 + ... + 209630.

Almost surely, 2496295640 is an apocalyptic number.

496295640 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 496295640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831794400).

496295640 is an abundant number, since it is smaller than the sum of its proper divisors (1167293160).

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

496295640 is a wasteful number, since it uses less digits than its factorization.

496295640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2594 (or 2584 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 496295640 is about 22277.6937765111. The cubic root of 496295640 is about 791.7355636930.

The spelling of 496295640 in words is "four hundred ninety-six million, two hundred ninety-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 193 216 270 360 386 540 579 772 965 1080 1158 1544 1737 1930 2316 2381 2895 3474 3860 4632 4762 5211 5790 6948 7143 7720 8685 9524 10422 11580 11905 13896 14286 17370 19048 20844 21429 23160 23810 26055 28572 34740 35715 41688 42858 47620 52110 57144 64287 69480 71430 85716 95240 104220 107145 128574 142860 171432 208440 214290 257148 285720 321435 428580 459533 514296 642870 857160 919066 1285740 1378599 1838132 2297665 2571480 2757198 3676264 4135797 4595330 5514396 6892995 8271594 9190660 11028792 12407391 13785990 16543188 18381320 20678985 24814782 27571980 33086376 41357970 49629564 55143960 62036955 82715940 99259128 124073910 165431880 248147820 496295640