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701155056 = 243759113313
BaseRepresentation
bin101001110010101…
…100011011110000
31210212100100220210
4221302230123300
52413443430211
6153324104120
723242501560
oct5162543360
91725310823
10701155056
1132a869198
12176995040
13b2355064
1469198da0
154184e9a6
hex29cac6f0

701155056 has 160 divisors (see below), whose sum is σ = 2130577920. Its totient is φ = 194568192.

The previous prime is 701155051. The next prime is 701155087. The reversal of 701155056 is 650551107.

701155056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (701155051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2239956 + ... + 2240268.

It is an arithmetic number, because the mean of its divisors is an integer number (13316112).

Almost surely, 2701155056 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 701155056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1065288960).

701155056 is an abundant number, since it is smaller than the sum of its proper divisors (1429422864).

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

701155056 is a wasteful number, since it uses less digits than its factorization.

701155056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 5250, while the sum is 30.

The square root of 701155056 is about 26479.3326199887. The cubic root of 701155056 is about 888.3921042500.

The spelling of 701155056 in words is "seven hundred one million, one hundred fifty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 59 84 112 113 118 168 177 226 236 313 336 339 354 413 452 472 626 678 708 791 826 904 939 944 1239 1252 1356 1416 1582 1652 1808 1878 2191 2373 2478 2504 2712 2832 3164 3304 3756 4382 4746 4956 5008 5424 6328 6573 6608 6667 7512 8764 9492 9912 12656 13146 13334 15024 17528 18467 18984 19824 20001 26292 26668 35056 35369 36934 37968 40002 46669 52584 53336 55401 70738 73868 80004 93338 105168 106107 106672 110802 129269 140007 141476 147736 160008 186676 212214 221604 247583 258538 280014 282952 295472 320016 373352 387807 424428 443208 495166 517076 560028 565904 742749 746704 775614 848856 886416 990332 1034152 1120056 1485498 1551228 1697712 1980664 2068304 2086771 2240112 2970996 3102456 3961328 4173542 5941992 6204912 6260313 8347084 11883984 12520626 14607397 16694168 25041252 29214794 33388336 43822191 50082504 58429588 87644382 100165008 116859176 175288764 233718352 350577528 701155056