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645695072 = 251110916829
BaseRepresentation
bin100110011111001…
…000011001100000
31122222222201010022
4212133020121200
52310244220242
6144023253012
722000213631
oct4637103140
91588881108
10645695072
113015292a0
121602aa168
13a3a076b9
1461a7d888
153ba470d2
hex267c8660

645695072 has 48 divisors (see below), whose sum is σ = 1399582800. Its totient is φ = 290787840.

The previous prime is 645695023. The next prime is 645695117. The reversal of 645695072 is 270596546.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 29954 + ... + 46782.

It is an arithmetic number, because the mean of its divisors is an integer number (29157975).

Almost surely, 2645695072 is an apocalyptic number.

645695072 is the 13583-rd centered heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 645695072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699791400).

645695072 is an abundant number, since it is smaller than the sum of its proper divisors (753887728).

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

645695072 is a wasteful number, since it uses less digits than its factorization.

645695072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16959 (or 16951 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 44.

The square root of 645695072 is about 25410.5307303881. The cubic root of 645695072 is about 864.3225104866.

The spelling of 645695072 in words is "six hundred forty-five million, six hundred ninety-five thousand, seventy-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 109 176 218 352 436 872 1199 1744 2398 3488 4796 9592 16829 19184 33658 38368 67316 134632 185119 269264 370238 538528 740476 1480952 1834361 2961904 3668722 5923808 7337444 14674888 20177971 29349776 40355942 58699552 80711884 161423768 322847536 645695072