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749290464 = 253213200131
BaseRepresentation
bin101100101010010…
…100001111100000
31221012220220021200
4230222110033200
53013304243324
6202203521200
724365602206
oct5452241740
91835826250
10749290464
11354a5601a
1218ab29200
13bc309850
1471729076
1545babec9
hex2ca943e0

749290464 has 72 divisors (see below), whose sum is σ = 2294713512. Its totient is φ = 230549760.

The previous prime is 749290447. The next prime is 749290537. The reversal of 749290464 is 464092947.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×7492904642 = 1122872398882670592, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 96322 + ... + 103809.

It is an arithmetic number, because the mean of its divisors is an integer number (31871021).

Almost surely, 2749290464 is an apocalyptic number.

It is an amenable number.

749290464 is an abundant number, since it is smaller than the sum of its proper divisors (1545423048).

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

749290464 is a wasteful number, since it uses less digits than its factorization.

749290464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200160 (or 200149 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 749290464 is about 27373.1705142097. The cubic root of 749290464 is about 908.2736921328.

The spelling of 749290464 in words is "seven hundred forty-nine million, two hundred ninety thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 200131 400262 600393 800524 1200786 1601048 1801179 2401572 2601703 3202096 3602358 4803144 5203406 6404192 7204716 7805109 9606288 10406812 14409432 15610218 19212576 20813624 23415327 28818864 31220436 41627248 46830654 57637728 62440872 83254496 93661308 124881744 187322616 249763488 374645232 749290464