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649971296 = 25132313877
BaseRepresentation
bin100110101111011…
…100011001100000
31200022000221222222
4212233130121200
52312343040141
6144255050212
722051444022
oct4657343140
91608027888
10649971296
1130398a067
12161810968
13a4873c00
1462474012
153c0de14b
hex26bdc660

649971296 has 72 divisors (see below), whose sum is σ = 1430702784. Its totient is φ = 290234880.

The previous prime is 649971293. The next prime is 649971307. The reversal of 649971296 is 692179946.

649971296 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 (649971293) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 165710 + ... + 169586.

It is an arithmetic number, because the mean of its divisors is an integer number (19870872).

Almost surely, 2649971296 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 649971296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715351392).

649971296 is an abundant number, since it is smaller than the sum of its proper divisors (780731488).

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

649971296 is a wasteful number, since it uses less digits than its factorization.

649971296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3944 (or 3923 counting only the distinct ones).

The product of its digits is 1469664, while the sum is 53.

The square root of 649971296 is about 25494.5346299947. The cubic root of 649971296 is about 866.2263541136.

The spelling of 649971296 in words is "six hundred forty-nine million, nine hundred seventy-one thousand, two hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 104 124 169 208 248 338 403 416 496 676 806 992 1352 1612 2704 3224 3877 5239 5408 6448 7754 10478 12896 15508 20956 31016 41912 50401 62032 83824 100802 120187 124064 167648 201604 240374 403208 480748 655213 806416 961496 1310426 1562431 1612832 1922992 2620852 3124862 3845984 5241704 6249724 10483408 12499448 20311603 20966816 24998896 40623206 49997792 81246412 162492824 324985648 649971296