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700038144 = 21032135843
BaseRepresentation
bin101001101110011…
…011110000000000
31210210020121210200
4221232123300000
52413202210034
6153244125200
723230140351
oct5156336000
91723217720
10700038144
1132a176023
12176536800
13b2053870
1468d87d28
15416cda99
hex29b9bc00

700038144 has 132 divisors (see below), whose sum is σ = 2177205576. Its totient is φ = 215359488.

The previous prime is 700038091. The next prime is 700038149. The reversal of 700038144 is 441830007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (700038149) 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 11 ways as a sum of consecutive naturals, for example, 116887 + ... + 122729.

Almost surely, 2700038144 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 700038144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1088602788).

700038144 is an abundant number, since it is smaller than the sum of its proper divisors (1477167432).

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

700038144 is a wasteful number, since it uses less digits than its factorization.

700038144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5882 (or 5861 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 700038144 is about 26458.2339546690. The cubic root of 700038144 is about 887.9201291688.

The spelling of 700038144 in words is "seven hundred million, thirty-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 512 576 624 768 832 936 1024 1152 1248 1536 1664 1872 2304 2496 3072 3328 3744 4608 4992 5843 6656 7488 9216 9984 11686 13312 14976 17529 19968 23372 29952 35058 39936 46744 52587 59904 70116 75959 93488 105174 119808 140232 151918 186976 210348 227877 280464 303836 373952 420696 455754 560928 607672 683631 747904 841392 911508 1121856 1215344 1367262 1495808 1682784 1823016 2243712 2430688 2734524 2991616 3365568 3646032 4487424 4861376 5469048 5983232 6731136 7292064 8974848 9722752 10938096 13462272 14584128 17949696 19445504 21876192 26924544 29168256 38891008 43752384 53849088 58336512 77782016 87504768 116673024 175009536 233346048 350019072 700038144