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701081472 = 27371320063
BaseRepresentation
bin101001110010011…
…010011110000000
31210212012121222110
4221302122132000
52413434101342
6153322335320
723242044210
oct5162323600
91725177873
10701081472
1132a818983
1217695a540
13b232a710
146917a240
1541837c9c
hex29c9a780

701081472 has 128 divisors (see below), whose sum is σ = 2292111360. Its totient is φ = 184891392.

The previous prime is 701081443. The next prime is 701081473. The reversal of 701081472 is 274180107.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (701081473) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 24913 + ... + 44975.

It is an arithmetic number, because the mean of its divisors is an integer number (17907120).

Almost surely, 2701081472 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 701081472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1146055680).

701081472 is an abundant number, since it is smaller than the sum of its proper divisors (1591029888).

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

701081472 is a wasteful number, since it uses less digits than its factorization.

701081472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20100 (or 20088 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 30.

The square root of 701081472 is about 26477.9431225313. The cubic root of 701081472 is about 888.3610251845.

The spelling of 701081472 in words is "seven hundred one million, eighty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 128 156 168 182 192 208 224 273 312 336 364 384 416 448 546 624 672 728 832 896 1092 1248 1344 1456 1664 2184 2496 2688 2912 4368 4992 5824 8736 11648 17472 20063 34944 40126 60189 80252 120378 140441 160504 240756 260819 280882 321008 421323 481512 521638 561764 642016 782457 842646 963024 1043276 1123528 1284032 1564914 1685292 1825733 1926048 2086552 2247056 2568064 3129828 3370584 3651466 3852096 4173104 4494112 5477199 6259656 6741168 7302932 7704192 8346208 8988224 10954398 12519312 13482336 14605864 16692416 17976448 21908796 25038624 26964672 29211728 33384832 43817592 50077248 53929344 58423456 87635184 100154496 116846912 175270368 233693824 350540736 701081472