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493401264 = 24343277863
BaseRepresentation
bin11101011010001…
…011010010110000
31021101102101021220
4131122023102300
52002302320024
6120543145040
715140561436
oct3532132260
91241371256
10493401264
1123356a744
121192a5180
137b2b4715
1449758d56
152d4b2e79
hex1d68b4b0

493401264 has 80 divisors (see below), whose sum is σ = 1310487552. Its totient is φ = 159876864.

The previous prime is 493401263. The next prime is 493401283. The reversal of 493401264 is 462104394.

It is not an unprimeable number, because it can be changed into a prime (493401263) 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, 571297 + ... + 572159.

Almost surely, 2493401264 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 493401264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655243776).

493401264 is an abundant number, since it is smaller than the sum of its proper divisors (817086288).

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

493401264 is a wasteful number, since it uses less digits than its factorization.

493401264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1194 (or 1188 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 493401264 is about 22212.6374840990. The cubic root of 493401264 is about 790.1934387175.

The spelling of 493401264 in words is "four hundred ninety-three million, four hundred one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 86 129 172 258 277 344 516 554 688 831 863 1032 1108 1662 1726 2064 2216 2589 3324 3452 4432 5178 6648 6904 10356 11911 13296 13808 20712 23822 35733 37109 41424 47644 71466 74218 95288 111327 142932 148436 190576 222654 239051 285864 296872 445308 478102 571728 593744 717153 890616 956204 1434306 1781232 1912408 2868612 3824816 5737224 10279193 11474448 20558386 30837579 41116772 61675158 82233544 123350316 164467088 246700632 493401264