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749344960 = 26571325733
BaseRepresentation
bin101100101010100…
…001100011000000
31221020000200001001
4230222201203000
53013313014320
6202205021344
724366220120
oct5452414300
91836020031
10749344960
11354a92a61
1218ab54854
13bc3285b0
1471740c80
1545bbd20a
hex2caa18c0

749344960 has 112 divisors (see below), whose sum is σ = 2196242496. Its totient is φ = 237146112.

The previous prime is 749344919. The next prime is 749344993. The reversal of 749344960 is 69443947.

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

It is a self number, because there is not a number n which added to its sum of digits gives 749344960.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16254 + ... + 41986.

It is an arithmetic number, because the mean of its divisors is an integer number (19609308).

Almost surely, 2749344960 is an apocalyptic number.

749344960 is a gapful number since it is divisible by the number (70) 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 749344960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1098121248).

749344960 is an abundant number, since it is smaller than the sum of its proper divisors (1446897536).

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

749344960 is a wasteful number, since it uses less digits than its factorization.

749344960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25770 (or 25760 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 46.

The square root of 749344960 is about 27374.1659233665. The cubic root of 749344960 is about 908.2957112231.

The spelling of 749344960 in words is "seven hundred forty-nine million, three hundred forty-four thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 64 65 70 80 91 104 112 130 140 160 182 208 224 260 280 320 364 416 448 455 520 560 728 832 910 1040 1120 1456 1820 2080 2240 2912 3640 4160 5824 7280 14560 25733 29120 51466 102932 128665 180131 205864 257330 334529 360262 411728 514660 669058 720524 823456 900655 1029320 1338116 1441048 1646912 1672645 1801310 2058640 2341703 2676232 2882096 3345290 3602620 4117280 4683406 5352464 5764192 6690580 7205240 8234560 9366812 10704928 11528384 11708515 13381160 14410480 18733624 21409856 23417030 26762320 28820960 37467248 46834060 53524640 57641920 74934496 93668120 107049280 149868992 187336240 374672480 749344960