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748052640 = 253251633187
BaseRepresentation
bin101100100101100…
…110000010100000
31221010121000022100
4230211212002200
53013000141030
6202121210400
724352225326
oct5445460240
91833530270
10748052640
11354290025
1218a630a00
13bbc952ca
14714c5d16
1545a15360
hex2c9660a0

748052640 has 144 divisors (see below), whose sum is σ = 2569196448. Its totient is φ = 198194688.

The previous prime is 748052623. The next prime is 748052677. The reversal of 748052640 is 46250847.

748052640 is a `hidden beast` number, since 7 + 4 + 8 + 0 + 5 + 2 + 640 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 748052595 and 748052604.

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 23 ways as a sum of consecutive naturals, for example, 233127 + ... + 236313.

It is an arithmetic number, because the mean of its divisors is an integer number (17841642).

Almost surely, 2748052640 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 748052640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1284598224).

748052640 is an abundant number, since it is smaller than the sum of its proper divisors (1821143808).

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

748052640 is a wasteful number, since it uses less digits than its factorization.

748052640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3371 (or 3360 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 748052640 is about 27350.5509999342. The cubic root of 748052640 is about 907.7732619700.

The spelling of 748052640 in words is "seven hundred forty-eight million, fifty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 163 180 240 288 326 360 480 489 652 720 815 978 1304 1440 1467 1630 1956 2445 2608 2934 3187 3260 3912 4890 5216 5868 6374 6520 7335 7824 9561 9780 11736 12748 13040 14670 15648 15935 19122 19560 23472 25496 26080 28683 29340 31870 38244 39120 46944 47805 50992 57366 58680 63740 76488 78240 95610 101984 114732 117360 127480 143415 152976 191220 229464 234720 254960 286830 305952 382440 458928 509920 519481 573660 764880 917856 1038962 1147320 1529760 1558443 2077924 2294640 2597405 3116886 4155848 4589280 4675329 5194810 6233772 7792215 8311696 9350658 10389620 12467544 15584430 16623392 18701316 20779240 23376645 24935088 31168860 37402632 41558480 46753290 49870176 62337720 74805264 83116960 93506580 124675440 149610528 187013160 249350880 374026320 748052640