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496192368 = 243713111273
BaseRepresentation
bin11101100100110…
…100101101110000
31021120200011222010
4131210310231300
52004011123433
6121123042520
715203364660
oct3544645560
91246604863
10496192368
112350a6741
1211a210440
137ba50c69
1449c841a0
152d864e63
hex1d934b70

496192368 has 80 divisors (see below), whose sum is σ = 1476262656. Its totient is φ = 140674560.

The previous prime is 496192357. The next prime is 496192387. The reversal of 496192368 is 863291694.

It is a super-2 number, since 2×4961923682 = 492413732122894848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38380 + ... + 49652.

Almost surely, 2496192368 is an apocalyptic number.

496192368 is a gapful number since it is divisible by the number (48) 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 496192368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738131328).

496192368 is an abundant number, since it is smaller than the sum of its proper divisors (980070288).

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

496192368 is a wasteful number, since it uses less digits than its factorization.

496192368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11422 (or 11416 counting only the distinct ones).

The product of its digits is 559872, while the sum is 48.

The square root of 496192368 is about 22275.3758217454. The cubic root of 496192368 is about 791.6806436141.

The spelling of 496192368 in words is "four hundred ninety-six million, one hundred ninety-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 131 168 262 336 393 524 786 917 1048 1572 1834 2096 2751 3144 3668 5502 6288 7336 11004 11273 14672 22008 22546 33819 44016 45092 67638 78911 90184 135276 157822 180368 236733 270552 315644 473466 541104 631288 946932 1262576 1476763 1893864 2953526 3787728 4430289 5907052 8860578 10337341 11814104 17721156 20674682 23628208 31012023 35442312 41349364 62024046 70884624 82698728 124048092 165397456 248096184 496192368