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496902340 = 22511612607
BaseRepresentation
bin11101100111100…
…010000011000100
31021122000020212101
4131213202003010
52004201333330
6121150201444
715212412604
oct3547420304
91248006771
10496902340
112355410a0
1211a4b3284
137bc3c16c
1449dcac04
152d9554ca
hex1d9e20c4

496902340 has 72 divisors (see below), whose sum is σ = 1159232256. Its totient is φ = 177436800.

The previous prime is 496902293. The next prime is 496902347. The reversal of 496902340 is 43209694.

496902340 = T221 + T222 + ... + T1440.

It is a self number, because there is not a number n which added to its sum of digits gives 496902340.

It is not an unprimeable number, because it can be changed into a prime (496902347) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 818317 + ... + 818923.

It is an arithmetic number, because the mean of its divisors is an integer number (16100448).

Almost surely, 2496902340 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 496902340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579616128).

496902340 is an abundant number, since it is smaller than the sum of its proper divisors (662329916).

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

496902340 is a wasteful number, since it uses less digits than its factorization.

496902340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 37.

The square root of 496902340 is about 22291.3063771507. The cubic root of 496902340 is about 792.0580531707.

The spelling of 496902340 in words is "four hundred ninety-six million, nine hundred two thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 61 110 122 220 244 305 607 610 671 1214 1220 1342 2428 2684 3035 3355 3721 6070 6677 6710 7442 12140 13354 13420 14884 18605 26708 33385 37027 37210 40931 66770 74054 74420 81862 133540 148108 163724 185135 204655 370270 407297 409310 740540 814594 818620 1629188 2036485 2258647 4072970 4517294 8145940 9034588 11293235 22586470 24845117 45172940 49690234 99380468 124225585 248451170 496902340