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497992440 = 233511234297
BaseRepresentation
bin11101101011101…
…100001011111000
31021201001122012110
4131223230023320
52004441224230
6121225412320
715224603001
oct3553541370
91251048173
10497992440
11236116100
1211a93a0a0
137c2313aa
144a1d21a8
152dabd4b0
hex1daec2f8

497992440 has 96 divisors (see below), whose sum is σ = 1642188240. Its totient is φ = 120721920.

The previous prime is 497992409. The next prime is 497992457. The reversal of 497992440 is 44299794.

It is a self number, because there is not a number n which added to its sum of digits gives 497992440.

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 23 ways as a sum of consecutive naturals, for example, 2629 + ... + 31668.

Almost surely, 2497992440 is an apocalyptic number.

497992440 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 497992440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821094120).

497992440 is an abundant number, since it is smaller than the sum of its proper divisors (1144195800).

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

497992440 is a wasteful number, since it uses less digits than its factorization.

497992440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34333 (or 34318 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The square root of 497992440 is about 22315.7442179283. The cubic root of 497992440 is about 792.6368334750.

The spelling of 497992440 in words is "four hundred ninety-seven million, nine hundred ninety-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 121 132 165 220 242 264 330 363 440 484 605 660 726 968 1210 1320 1452 1815 2420 2904 3630 4840 7260 14520 34297 68594 102891 137188 171485 205782 274376 342970 377267 411564 514455 685940 754534 823128 1028910 1131801 1371880 1509068 1886335 2057820 2263602 3018136 3772670 4115640 4149937 4527204 5659005 7545340 8299874 9054408 11318010 12449811 15090680 16599748 20749685 22636020 24899622 33199496 41499370 45272040 49799244 62249055 82998740 99598488 124498110 165997480 248996220 497992440