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498943872 = 2732728839
BaseRepresentation
bin11101101111010…
…100011110000000
31021202211222022200
4131233110132000
52010212200442
6121302033200
715235644600
oct3557243600
91252758280
10498943872
11236705a09
1211b118800
137c4a547b
144a39cc00
152dc0a34c
hex1dbd4780

498943872 has 144 divisors (see below), whose sum is σ = 1670362200. Its totient is φ = 142539264.

The previous prime is 498943871. The next prime is 498943877. The reversal of 498943872 is 278349894.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (498943871) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 52029 + ... + 60867.

Almost surely, 2498943872 is an apocalyptic number.

498943872 is a gapful number since it is divisible by the number (42) 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 498943872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835181100).

498943872 is an abundant number, since it is smaller than the sum of its proper divisors (1171418328).

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

498943872 is a wasteful number, since it uses less digits than its factorization.

498943872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8873 (or 8851 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 498943872 is about 22337.0515511784. The cubic root of 498943872 is about 793.1412991563.

The spelling of 498943872 in words is "four hundred ninety-eight million, nine hundred forty-three thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 84 96 98 112 126 128 144 147 168 192 196 224 252 288 294 336 384 392 441 448 504 576 588 672 784 882 896 1008 1152 1176 1344 1568 1764 2016 2352 2688 3136 3528 4032 4704 6272 7056 8064 8839 9408 14112 17678 18816 26517 28224 35356 53034 56448 61873 70712 79551 106068 123746 141424 159102 185619 212136 247492 282848 318204 371238 424272 433111 494984 556857 565696 636408 742476 848544 866222 989968 1113714 1131392 1272816 1299333 1484952 1697088 1732444 1979936 2227428 2545632 2598666 2969904 3394176 3464888 3897999 3959872 4454856 5091264 5197332 5939808 6929776 7795998 7919744 8909712 10182528 10394664 11879616 13859552 15591996 17819424 20789328 23759232 27719104 31183992 35638848 41578656 55438208 62367984 71277696 83157312 124735968 166314624 249471936 498943872