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490691264 = 26717193391
BaseRepresentation
bin11101001111110…
…101101011000000
31021012022200212112
4131033311223000
52001104110024
6120405114452
715105543530
oct3517655300
91235280775
10490691264
11231a89678
121183b8a28
137a87607b
14492514c0
152d12a00e
hex1d3f5ac0

490691264 has 112 divisors (see below), whose sum is σ = 1240657920. Its totient is φ = 187453440.

The previous prime is 490691263. The next prime is 490691287. The reversal of 490691264 is 462196094.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (490691263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143009 + ... + 146399.

Almost surely, 2490691264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 490691264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620328960).

490691264 is an abundant number, since it is smaller than the sum of its proper divisors (749966656).

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

490691264 is a wasteful number, since it uses less digits than its factorization.

490691264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3446 (or 3436 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 41.

The square root of 490691264 is about 22151.5521803778. The cubic root of 490691264 is about 788.7440728807.

The spelling of 490691264 in words is "four hundred ninety million, six hundred ninety-one thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 17 19 28 32 34 38 56 64 68 76 112 119 133 136 152 224 238 266 272 304 323 448 476 532 544 608 646 952 1064 1088 1216 1292 1904 2128 2261 2584 3391 3808 4256 4522 5168 6782 7616 8512 9044 10336 13564 18088 20672 23737 27128 36176 47474 54256 57647 64429 72352 94948 108512 115294 128858 144704 189896 217024 230588 257716 379792 403529 451003 461176 515432 759584 807058 902006 922352 1030864 1095293 1519168 1614116 1804012 1844704 2061728 2190586 3228232 3608024 3689408 4123456 4381172 6456464 7216048 7667051 8762344 12912928 14432096 15334102 17524688 25825856 28864192 30668204 35049376 61336408 70098752 122672816 245345632 490691264