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496013976 = 23337383379
BaseRepresentation
bin11101100100001…
…001001010011000
31021120100010021000
4131210021022120
52003434421401
6121115145000
715202022613
oct3544111230
91246303230
10496013976
11234a94707
1211a145160
137b9ba9c3
1449c3917a
152d82c186
hex1d909298

496013976 has 128 divisors (see below), whose sum is σ = 1417248000. Its totient is φ = 160683264.

The previous prime is 496013963. The next prime is 496013977. The reversal of 496013976 is 679310694.

496013976 is a `hidden beast` number, since 4 + 9 + 601 + 39 + 7 + 6 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (496013977) 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, 1308555 + ... + 1308933.

It is an arithmetic number, because the mean of its divisors is an integer number (11072250).

Almost surely, 2496013976 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 496013976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708624000).

496013976 is an abundant number, since it is smaller than the sum of its proper divisors (921234024).

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

496013976 is a wasteful number, since it uses less digits than its factorization.

496013976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 496013976 is about 22271.3712195724. The cubic root of 496013976 is about 791.5857567444.

The spelling of 496013976 in words is "four hundred ninety-six million, thirteen thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 73 83 108 146 166 216 219 249 292 332 379 438 498 584 657 664 747 758 876 996 1137 1314 1494 1516 1752 1971 1992 2241 2274 2628 2988 3032 3411 3942 4482 4548 5256 5976 6059 6822 7884 8964 9096 10233 12118 13644 15768 17928 18177 20466 24236 27288 27667 31457 36354 40932 48472 54531 55334 62914 72708 81864 83001 94371 109062 110668 125828 145416 163593 166002 188742 218124 221336 249003 251656 283113 327186 332004 377484 436248 498006 566226 654372 664008 747009 754968 849339 996012 1132452 1308744 1494018 1698678 1992024 2264904 2296361 2988036 3397356 4592722 5976072 6794712 6889083 9185444 13778166 18370888 20667249 27556332 41334498 55112664 62001747 82668996 124003494 165337992 248006988 496013976