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491992320 = 2835314133
BaseRepresentation
bin11101010100110…
…011010100000000
31021021202210120210
4131110303110000
52001422223240
6120453034120
715122602641
oct3524632400
91237683523
10491992320
11232798126
12118925940
137ac10321
14494ad6c8
152d2d5780
hex1d533500

491992320 has 144 divisors (see below), whose sum is σ = 1622380032. Its totient is φ = 126935040.

The previous prime is 491992297. The next prime is 491992373. The reversal of 491992320 is 23299194.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116974 + ... + 121106.

It is an arithmetic number, because the mean of its divisors is an integer number (11266528).

Almost surely, 2491992320 is an apocalyptic number.

491992320 is a gapful number since it is divisible by the number (40) 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 491992320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811190016).

491992320 is an abundant number, since it is smaller than the sum of its proper divisors (1130387712).

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

491992320 is a wasteful number, since it uses less digits than its factorization.

491992320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4188 (or 4174 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 39.

The square root of 491992320 is about 22180.8998915734. The cubic root of 491992320 is about 789.4405695958.

The spelling of 491992320 in words is "four hundred ninety-one million, nine hundred ninety-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 64 80 93 96 120 124 128 155 160 186 192 240 248 256 310 320 372 384 465 480 496 620 640 744 768 930 960 992 1240 1280 1488 1860 1920 1984 2480 2976 3720 3840 3968 4133 4960 5952 7440 7936 8266 9920 11904 12399 14880 16532 19840 20665 23808 24798 29760 33064 39680 41330 49596 59520 61995 66128 82660 99192 119040 123990 128123 132256 165320 198384 247980 256246 264512 330640 384369 396768 495960 512492 529024 640615 661280 768738 793536 991920 1024984 1058048 1281230 1322560 1537476 1587072 1921845 1983840 2049968 2562460 2645120 3074952 3174144 3843690 3967680 4099936 5124920 5290240 6149904 7687380 7935360 8199872 10249840 12299808 15374760 15870720 16399744 20499680 24599616 30749520 32799488 40999360 49199232 61499040 81998720 98398464 122998080 163997440 245996160 491992320