Search a number
-
+
490310772 = 223729431467
BaseRepresentation
bin11101001110011…
…000110001110100
31021011121100221020
4131032120301310
52001004421042
6120353021140
715102400320
oct3516306164
91234540836
10490310772
11231849816
121182547b0
137a771b23
1449192980
152d0a23ec
hex1d398c74

490310772 has 96 divisors (see below), whose sum is σ = 1358622720. Its totient is φ = 134655360.

The previous prime is 490310749. The next prime is 490310809. The reversal of 490310772 is 277013094.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1049683 + ... + 1050149.

It is an arithmetic number, because the mean of its divisors is an integer number (14152320).

Almost surely, 2490310772 is an apocalyptic number.

490310772 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 490310772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679311360).

490310772 is an abundant number, since it is smaller than the sum of its proper divisors (868311948).

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

490310772 is a wasteful number, since it uses less digits than its factorization.

490310772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 941 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 490310772 is about 22142.9621324700. The cubic root of 490310772 is about 788.5401507570.

The spelling of 490310772 in words is "four hundred ninety million, three hundred ten thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 58 84 87 116 174 203 348 406 431 467 609 812 862 934 1218 1293 1401 1724 1868 2436 2586 2802 3017 3269 5172 5604 6034 6538 9051 9807 12068 12499 13076 13543 18102 19614 24998 27086 36204 37497 39228 40629 49996 54172 74994 81258 87493 94801 149988 162516 174986 189602 201277 262479 284403 349972 379204 402554 524958 568806 603831 805108 1049916 1137612 1207662 1408939 2415324 2817878 4226817 5635756 5837033 8453634 11674066 16907268 17511099 23348132 35022198 40859231 70044396 81718462 122577693 163436924 245155386 490310772