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481431990 = 235132269353
BaseRepresentation
bin11100101100100…
…001000110110110
31020112220021112110
4130230201012312
51441221310430
6115434431450
714634050544
oct3454410666
91215807473
10481431990
11227834a86
12115292586
1378983700
1447d20d94
152c3eb7b0
hex1cb211b6

481431990 has 96 divisors (see below), whose sum is σ = 1259362080. Its totient is φ = 117731328.

The previous prime is 481431989. The next prime is 481432009. The reversal of 481431990 is 99134184.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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, 1363654 + ... + 1364006.

It is an arithmetic number, because the mean of its divisors is an integer number (13118355).

Almost surely, 2481431990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 481431990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629681040).

481431990 is an abundant number, since it is smaller than the sum of its proper divisors (777930090).

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

481431990 is a wasteful number, since it uses less digits than its factorization.

481431990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 481431990 is about 21941.5585134694. The cubic root of 481431990 is about 783.7513734653.

The spelling of 481431990 in words is "four hundred eighty-one million, four hundred thirty-one thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 169 195 269 338 353 390 507 538 706 807 845 1014 1059 1345 1614 1690 1765 2118 2535 2690 3497 3530 4035 4589 5070 5295 6994 8070 9178 10491 10590 13767 17485 20982 22945 27534 34970 45461 45890 52455 59657 68835 90922 94957 104910 119314 136383 137670 178971 189914 227305 272766 284871 298285 357942 454610 474785 569742 596570 681915 894855 949570 1234441 1363830 1424355 1789710 2468882 2848710 3703323 6172205 7406646 12344410 16047733 18516615 32095466 37033230 48143199 80238665 96286398 160477330 240715995 481431990