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875380464 = 243271945707
BaseRepresentation
bin110100001011010…
…011111011110000
32021000011221020200
4310023103323300
53243044133324
6222510235200
730456416430
oct6413237360
92230157220
10875380464
1140a147332
122051b5b00
1310c48670a
148438c2c0
1551cb6ec9
hex342d3ef0

875380464 has 120 divisors (see below), whose sum is σ = 2947251840. Its totient is φ = 236939904.

The previous prime is 875380459. The next prime is 875380481. The reversal of 875380464 is 464083578.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3702 + ... + 42005.

It is an arithmetic number, because the mean of its divisors is an integer number (24560432).

Almost surely, 2875380464 is an apocalyptic number.

875380464 is a gapful number since it is divisible by the number (84) 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 875380464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1473625920).

875380464 is an abundant number, since it is smaller than the sum of its proper divisors (2071871376).

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

875380464 is a wasteful number, since it uses less digits than its factorization.

875380464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45747 (or 45738 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 875380464 is about 29586.8292319403. The cubic root of 875380464 is about 956.6042001459.

The spelling of 875380464 in words is "eight hundred seventy-five million, three hundred eighty thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 36 38 42 48 56 57 63 72 76 84 112 114 126 133 144 152 168 171 228 252 266 304 336 342 399 456 504 532 684 798 912 1008 1064 1197 1368 1596 2128 2394 2736 3192 4788 6384 9576 19152 45707 91414 137121 182828 274242 319949 365656 411363 548484 639898 731312 822726 868433 959847 1096968 1279796 1645452 1736866 1919694 2193936 2559592 2605299 2879541 3290904 3473732 3839388 5119184 5210598 5759082 6079031 6581808 6947464 7678776 7815897 10421196 11518164 12158062 13894928 15357552 15631794 18237093 20842392 23036328 24316124 31263588 36474186 41684784 46072656 48632248 54711279 62527176 72948372 97264496 109422558 125054352 145896744 218845116 291793488 437690232 875380464