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498742992 = 243211461683
BaseRepresentation
bin11101101110100…
…011011011010000
31021202110202202200
4131232203123100
52010134233432
6121253443200
715234150126
oct3556433320
91252422680
10498742992
11236588aa0
1211b040500
137c434bc7
144a349916
152dbbaa7c
hex1dba36d0

498742992 has 120 divisors (see below), whose sum is σ = 1528214688. Its totient is φ = 150585600.

The previous prime is 498742969. The next prime is 498743009. The reversal of 498742992 is 299247894.

It is a super-2 number, since 2×4987429922 = 497489144138224128, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 729883 + ... + 730565.

Almost surely, 2498742992 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 498742992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764107344).

498742992 is an abundant number, since it is smaller than the sum of its proper divisors (1029471696).

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

498742992 is a wasteful number, since it uses less digits than its factorization.

498742992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1169 (or 1160 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 498742992 is about 22332.5545336847. The cubic root of 498742992 is about 793.0348425519.

The spelling of 498742992 in words is "four hundred ninety-eight million, seven hundred forty-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 461 528 683 792 922 1366 1383 1584 1844 2049 2732 2766 3688 4098 4149 5071 5464 5532 6147 7376 7513 8196 8298 10142 10928 11064 12294 15026 15213 16392 16596 20284 22128 22539 24588 30052 30426 32784 33192 40568 45078 45639 49176 60104 60852 66384 67617 81136 90156 91278 98352 120208 121704 135234 180312 182556 243408 270468 314863 360624 365112 540936 629726 730224 944589 1081872 1259452 1889178 2518904 2833767 3463493 3778356 5037808 5667534 6926986 7556712 10390479 11335068 13853972 15113424 20780958 22670136 27707944 31171437 41561916 45340272 55415888 62342874 83123832 124685748 166247664 249371496 498742992