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648370448 = 241122916087
BaseRepresentation
bin100110101001010…
…101100100010000
31200012000122001022
4212221111210100
52311440323243
6144200455012
722032025565
oct4651254420
91605018038
10648370448
11302a96350
1216117a468
13a443336b
146217886c
153bdc4b68
hex26a55910

648370448 has 40 divisors (see below), whose sum is σ = 1376489280. Its totient is φ = 293408640.

The previous prime is 648370441. The next prime is 648370501. The reversal of 648370448 is 844073846.

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

It is a junction number, because it is equal to n+sod(n) for n = 648370399 and 648370408.

It is not an unprimeable number, because it can be changed into a prime (648370441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32261 + ... + 48347.

It is an arithmetic number, because the mean of its divisors is an integer number (34412232).

Almost surely, 2648370448 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 648370448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688244640).

648370448 is an abundant number, since it is smaller than the sum of its proper divisors (728118832).

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

648370448 is a wasteful number, since it uses less digits than its factorization.

648370448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16335 (or 16329 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 44.

The square root of 648370448 is about 25463.1193690011. The cubic root of 648370448 is about 865.5146115330.

The spelling of 648370448 in words is "six hundred forty-eight million, three hundred seventy thousand, four hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 44 88 176 229 458 916 1832 2519 3664 5038 10076 16087 20152 32174 40304 64348 128696 176957 257392 353914 707828 1415656 2831312 3683923 7367846 14735692 29471384 40523153 58942768 81046306 162092612 324185224 648370448