Search a number
-
+
705026556 = 2232139971511
BaseRepresentation
bin101010000001011…
…101100111111100
31211010122001121200
4222001131213330
52420441322211
6153543055500
723320425003
oct5201354774
91733561550
10705026556
11331a72983
12178141590
13b30ac2a0
14698c5c3a
1541d66b56
hex2a05d9fc

705026556 has 72 divisors (see below), whose sum is σ = 1922435424. Its totient is φ = 216570240.

The previous prime is 705026551. The next prime is 705026557. The reversal of 705026556 is 655620507.

It is a super-2 number, since 2×7050265562 = 994124889330442272, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 705026556.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (705026551) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 465841 + ... + 467351.

It is an arithmetic number, because the mean of its divisors is an integer number (26700492).

Almost surely, 2705026556 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 705026556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (961217712).

705026556 is an abundant number, since it is smaller than the sum of its proper divisors (1217408868).

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

705026556 is a wasteful number, since it uses less digits than its factorization.

705026556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2531 (or 2526 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The square root of 705026556 is about 26552.3361684052. The cubic root of 705026556 is about 890.0242201884.

The spelling of 705026556 in words is "seven hundred five million, twenty-six thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 997 1511 1994 2991 3022 3988 4533 5982 6044 8973 9066 11964 12961 13599 17946 18132 19643 25922 27198 35892 38883 39286 51844 54396 58929 77766 78572 116649 117858 155532 176787 233298 235716 353574 466596 707148 1506467 3012934 4519401 6025868 9038802 13558203 18077604 19584071 27116406 39168142 54232812 58752213 78336284 117504426 176256639 235008852 352513278 705026556