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686370048 = 28372132361
BaseRepresentation
bin101000111010010…
…010110100000000
31202211112012200220
4220322102310000
52401202320143
6152035143040
723003022600
oct5072226400
91684465626
10686370048
1132248aa81
12171a44a80
13ac279530
146722ac00
15403cdd83
hex28e92d00

686370048 has 432 divisors, whose sum is σ = 2427094656. Its totient is φ = 170311680.

The previous prime is 686370007. The next prime is 686370049. The reversal of 686370048 is 840073686.

It is a super-2 number, since 2×6863700482 = 942207685583044608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 686369991 and 686370009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (686370049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11251938 + ... + 11251998.

Almost surely, 2686370048 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 686370048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1213547328).

686370048 is an abundant number, since it is smaller than the sum of its proper divisors (1740724608).

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

686370048 is a wasteful number, since it uses less digits than its factorization.

686370048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 686370048 is about 26198.6650041562. The cubic root of 686370048 is about 882.1032884832.

The spelling of 686370048 in words is "six hundred eighty-six million, three hundred seventy thousand, forty-eight".