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492899820 = 223572359467
BaseRepresentation
bin11101011000010…
…000110111101100
31021100110220102220
4131120100313230
52002140243240
6120524315340
715133402500
oct3530206754
91240426386
10492899820
11233257a26
121190a2b50
137b16a3ca
1449668300
152d4145d0
hex1d610dec

492899820 has 144 divisors (see below), whose sum is σ = 1613364480. Its totient is φ = 112108416.

The previous prime is 492899801. The next prime is 492899837. The reversal of 492899820 is 28998294.

492899820 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1055227 + ... + 1055693.

It is an arithmetic number, because the mean of its divisors is an integer number (11203920).

Almost surely, 2492899820 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 492899820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806682240).

492899820 is an abundant number, since it is smaller than the sum of its proper divisors (1120464660).

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

492899820 is a wasteful number, since it uses less digits than its factorization.

492899820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 51.

The square root of 492899820 is about 22201.3472564167. The cubic root of 492899820 is about 789.9256566264.

The spelling of 492899820 in words is "four hundred ninety-two million, eight hundred ninety-nine thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 359 420 467 490 588 718 735 934 980 1077 1401 1436 1470 1795 1868 2154 2335 2513 2802 2940 3269 3590 4308 4670 5026 5385 5604 6538 7005 7180 7539 9340 9807 10052 10770 12565 13076 14010 15078 16345 17591 19614 21540 22883 25130 28020 30156 32690 35182 37695 39228 45766 49035 50260 52773 65380 68649 70364 75390 87955 91532 98070 105546 114415 137298 150780 167653 175910 196140 211092 228830 263865 274596 335306 343245 351820 457660 502959 527730 670612 686490 838265 1005918 1055460 1173571 1372980 1676530 2011836 2347142 2514795 3353060 3520713 4694284 5029590 5867855 7041426 8214997 10059180 11735710 14082852 16429994 17603565 23471420 24644991 32859988 35207130 41074985 49289982 70414260 82149970 98579964 123224955 164299940 246449910 492899820