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852638448 = 24322977569
BaseRepresentation
bin110010110100100…
…011101011110000
32012102101112001210
4302310203223300
53221233412243
6220335000120
730062210244
oct6264435360
92172345053
10852638448
113a8323982
121b9669040
131078531bc
148134c424
154ecc3933
hex32d23af0

852638448 has 40 divisors (see below), whose sum is σ = 2212296400. Its totient is φ = 282968064.

The previous prime is 852638447. The next prime is 852638453. The reversal of 852638448 is 844836258.

852638448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 852638397 and 852638406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (852638447) 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, 27793 + ... + 49776.

It is an arithmetic number, because the mean of its divisors is an integer number (55307410).

Almost surely, 2852638448 is an apocalyptic number.

It is an amenable number.

852638448 is an abundant number, since it is smaller than the sum of its proper divisors (1359657952).

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

852638448 is a wasteful number, since it uses less digits than its factorization.

852638448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77809 (or 77803 counting only the distinct ones).

The product of its digits is 1474560, while the sum is 48.

The square root of 852638448 is about 29199.9734246454. The cubic root of 852638448 is about 948.2473495107.

The spelling of 852638448 in words is "eight hundred fifty-two million, six hundred thirty-eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 229 458 687 916 1374 1832 2748 3664 5496 10992 77569 155138 232707 310276 465414 620552 930828 1241104 1861656 3723312 17763301 35526602 53289903 71053204 106579806 142106408 213159612 284212816 426319224 852638448