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491997440 = 2851183421
BaseRepresentation
bin11101010100110…
…100100100000000
31021021210001121102
4131110310210000
52001422404230
6120453113532
715122623604
oct3524644400
91237701542
10491997440
112327a0a60
121189288a8
137ac1275c
14494b1504
152d2d7045
hex1d534900

491997440 has 144 divisors (see below), whose sum is σ = 1304202816. Its totient is φ = 176332800.

The previous prime is 491997437. The next prime is 491997487. The reversal of 491997440 is 44799194.

It is a super-2 number, since 2×4919974402 = 484122961933107200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1168430 + ... + 1168850.

It is an arithmetic number, because the mean of its divisors is an integer number (9056964).

Almost surely, 2491997440 is an apocalyptic number.

491997440 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 491997440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652101408).

491997440 is an abundant number, since it is smaller than the sum of its proper divisors (812205376).

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

491997440 is a wasteful number, since it uses less digits than its factorization.

491997440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 47.

The square root of 491997440 is about 22181.0153058871. The cubic root of 491997440 is about 789.4433080679.

The spelling of 491997440 in words is "four hundred ninety-one million, nine hundred ninety-seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 83 88 110 128 160 166 176 220 256 320 332 352 415 421 440 640 664 704 830 842 880 913 1280 1328 1408 1660 1684 1760 1826 2105 2656 2816 3320 3368 3520 3652 4210 4565 4631 5312 6640 6736 7040 7304 8420 9130 9262 10624 13280 13472 14080 14608 16840 18260 18524 21248 23155 26560 26944 29216 33680 34943 36520 37048 46310 53120 53888 58432 67360 69886 73040 74096 92620 106240 107776 116864 134720 139772 146080 148192 174715 185240 233728 269440 279544 292160 296384 349430 370480 384373 538880 559088 584320 592768 698860 740960 768746 1118176 1168640 1185536 1397720 1481920 1537492 1921865 2236352 2795440 2963840 3074984 3843730 4472704 5590880 5927680 6149968 7687460 8945408 11181760 12299936 15374920 22363520 24599872 30749840 44727040 49199744 61499680 98399488 122999360 245998720 491997440