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496028000 = 2553139539
BaseRepresentation
bin11101100100001…
…100100101100000
31021120100211111102
4131210030211200
52003440344000
6121115333532
715202111526
oct3544144540
91246324442
10496028000
11234aa41a6
1211a1512a8
137b9c41c0
1449c40316
152d8313d5
hex1d90c960

496028000 has 96 divisors (see below), whose sum is σ = 1312627680. Its totient is φ = 183129600.

The previous prime is 496027991. The next prime is 496028011. The reversal of 496028000 is 820694.

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, 47231 + ... + 56769.

It is an arithmetic number, because the mean of its divisors is an integer number (13673205).

Almost surely, 2496028000 is an apocalyptic number.

496028000 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 496028000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656313840).

496028000 is an abundant number, since it is smaller than the sum of its proper divisors (816599680).

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

496028000 is a wasteful number, since it uses less digits than its factorization.

496028000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9577 (or 9559 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 496028000 is about 22271.6860610058. The cubic root of 496028000 is about 791.5932169468.

Adding to 496028000 its reverse (820694), we get a palindrome (496848694).

The spelling of 496028000 in words is "four hundred ninety-six million, twenty-eight thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 125 130 160 200 208 250 260 325 400 416 500 520 650 800 1000 1040 1300 1625 2000 2080 2600 3250 4000 5200 6500 9539 10400 13000 19078 26000 38156 47695 52000 76312 95390 124007 152624 190780 238475 248014 305248 381560 476950 496028 620035 763120 953900 992056 1192375 1240070 1526240 1907800 1984112 2384750 2480140 3100175 3815600 3968224 4769500 4960280 6200350 7631200 9539000 9920560 12400700 15500875 19078000 19841120 24801400 31001750 38156000 49602800 62003500 99205600 124007000 248014000 496028000