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491954680 = 23576412741
BaseRepresentation
bin11101010100101…
…010000111111000
31021021200212221201
4131110222013320
52001420022210
6120452143544
715122355130
oct3524520770
91237625851
10491954680
11232771918
12118907bb4
137abc9159
144949dac0
152d2c953a
hex1d52a1f8

491954680 has 64 divisors (see below), whose sum is σ = 1267462080. Its totient is φ = 168345600.

The previous prime is 491954657. The next prime is 491954711. The reversal of 491954680 is 86459194.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 491954680.

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, 178110 + ... + 180850.

It is an arithmetic number, because the mean of its divisors is an integer number (19804095).

Almost surely, 2491954680 is an apocalyptic number.

491954680 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 491954680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633731040).

491954680 is an abundant number, since it is smaller than the sum of its proper divisors (775507400).

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

491954680 is a wasteful number, since it uses less digits than its factorization.

491954680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3400 (or 3396 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 46.

The square root of 491954680 is about 22180.0513975960. The cubic root of 491954680 is about 789.4204369639.

The spelling of 491954680 in words is "four hundred ninety-one million, nine hundred fifty-four thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 641 1282 2564 2741 3205 4487 5128 5482 6410 8974 10964 12820 13705 17948 19187 21928 22435 25640 27410 35896 38374 44870 54820 76748 89740 95935 109640 153496 179480 191870 383740 767480 1756981 3513962 7027924 8784905 12298867 14055848 17569810 24597734 35139620 49195468 61494335 70279240 98390936 122988670 245977340 491954680