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491010048 = 21132171567
BaseRepresentation
bin11101010001000…
…011100000000000
31021012220220011100
4131101003200000
52001144310143
6120420014400
715111342114
oct3521034000
91235826140
10491010048
11232187131
12118531400
137a9581b9
14492d5744
152d18e6d3
hex1d443800

491010048 has 144 divisors (see below), whose sum is σ = 1502504640. Its totient is φ = 153944064.

The previous prime is 491010019. The next prime is 491010101. The reversal of 491010048 is 840010194.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 312561 + ... + 314127.

It is an arithmetic number, because the mean of its divisors is an integer number (10434060).

Almost surely, 2491010048 is an apocalyptic number.

491010048 is a gapful number since it is divisible by the number (48) 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 491010048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751252320).

491010048 is an abundant number, since it is smaller than the sum of its proper divisors (1011494592).

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

491010048 is a wasteful number, since it uses less digits than its factorization.

491010048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1612 (or 1589 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 491010048 is about 22158.7465349464. The cubic root of 491010048 is about 788.9148418743.

The spelling of 491010048 in words is "four hundred ninety-one million, ten thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 256 272 288 306 384 408 512 544 576 612 768 816 1024 1088 1152 1224 1536 1567 1632 2048 2176 2304 2448 3072 3134 3264 4352 4608 4701 4896 6144 6268 6528 8704 9216 9402 9792 12536 13056 14103 17408 18432 18804 19584 25072 26112 26639 28206 34816 37608 39168 50144 52224 53278 56412 75216 78336 79917 100288 104448 106556 112824 150432 156672 159834 200576 213112 225648 239751 300864 313344 319668 401152 426224 451296 479502 601728 639336 802304 852448 902592 959004 1203456 1278672 1604608 1704896 1805184 1918008 2406912 2557344 3209216 3409792 3610368 3836016 4813824 5114688 6819584 7220736 7672032 9627648 10229376 13639168 14441472 15344064 20458752 27278336 28882944 30688128 40917504 54556672 61376256 81835008 122752512 163670016 245505024 491010048