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649031004 = 2232315310973
BaseRepresentation
bin100110101011110…
…110110101011100
31200020021012011100
4212223312311130
52312122443004
6144222553100
722040446446
oct4653666534
91606235140
10649031004
113033a7666
12161438790
13a4604c1b
14622ab496
153bea5739
hex26af6d5c

649031004 has 72 divisors (see below), whose sum is σ = 1725639552. Its totient is φ = 205395840.

The previous prime is 649031003. The next prime is 649031063. The reversal of 649031004 is 400130946.

649031004 is a `hidden beast` number, since 649 + 0 + 3 + 10 + 0 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (649031003) 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, 53662 + ... + 64634.

It is an arithmetic number, because the mean of its divisors is an integer number (23967216).

Almost surely, 2649031004 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 649031004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (862819776).

649031004 is an abundant number, since it is smaller than the sum of its proper divisors (1076608548).

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

649031004 is a wasteful number, since it uses less digits than its factorization.

649031004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11067 (or 11062 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 649031004 is about 25476.0869051744. The cubic root of 649031004 is about 865.8084388380.

The spelling of 649031004 in words is "six hundred forty-nine million, thirty-one thousand, four".

Divisors: 1 2 3 4 6 9 12 18 31 36 53 62 93 106 124 159 186 212 279 318 372 477 558 636 954 1116 1643 1908 3286 4929 6572 9858 10973 14787 19716 21946 29574 32919 43892 59148 65838 98757 131676 197514 340163 395028 581569 680326 1020489 1163138 1360652 1744707 2040978 2326276 3061467 3489414 4081956 5234121 6122934 6978828 10468242 12245868 18028639 20936484 36057278 54085917 72114556 108171834 162257751 216343668 324515502 649031004