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648326136 = 233374316979
BaseRepresentation
bin100110101001001…
…010101111111000
31200011221101021010
4212221022233320
52311432414021
6144155513520
722031452443
oct4651125770
91604841233
10648326136
11302a66027
121611588a0
13a4419143
146216665a
153bdb6976
hex26a4abf8

648326136 has 64 divisors (see below), whose sum is σ = 1703433600. Its totient is φ = 205365888.

The previous prime is 648326123. The next prime is 648326141. The reversal of 648326136 is 631623846.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 648326094 and 648326103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29695 + ... + 46673.

It is an arithmetic number, because the mean of its divisors is an integer number (26616150).

Almost surely, 2648326136 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 648326136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851716800).

648326136 is an abundant number, since it is smaller than the sum of its proper divisors (1055107464).

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

648326136 is a wasteful number, since it uses less digits than its factorization.

648326136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17068 (or 17064 counting only the distinct ones).

The product of its digits is 124416, while the sum is 39.

The square root of 648326136 is about 25462.2492329331. The cubic root of 648326136 is about 865.4948936092.

The spelling of 648326136 in words is "six hundred forty-eight million, three hundred twenty-six thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 24 37 43 74 86 111 129 148 172 222 258 296 344 444 516 888 1032 1591 3182 4773 6364 9546 12728 16979 19092 33958 38184 50937 67916 101874 135832 203748 407496 628223 730097 1256446 1460194 1884669 2190291 2512892 2920388 3769338 4380582 5025784 5840776 7538676 8761164 15077352 17522328 27013589 54027178 81040767 108054356 162081534 216108712 324163068 648326136