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8378964 = 2234112351
BaseRepresentation
bin11111111101101001010100
3120202200210000
4133331221110
54121111324
6455331300
7131135316
oct37755124
916680700
108378964
114803270
122980b30
131974a89
1411817b6
15b079c9
hex7fda54

8378964 has 60 divisors (see below), whose sum is σ = 23905728. Its totient is φ = 2538000.

The previous prime is 8378893. The next prime is 8378987. The reversal of 8378964 is 4698738.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2389 + ... + 4739.

Almost surely, 28378964 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 8378964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11952864).

8378964 is an abundant number, since it is smaller than the sum of its proper divisors (15526764).

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

8378964 is a wasteful number, since it uses less digits than its factorization.

8378964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2378 (or 2367 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 8378964 is about 2894.6440195644. The cubic root of 8378964 is about 203.1094397232.

It can be divided in two parts, 837 and 8964, that added together give a square (9801 = 992).

The spelling of 8378964 in words is "eight million, three hundred seventy-eight thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 297 324 396 594 891 1188 1782 2351 3564 4702 7053 9404 14106 21159 25861 28212 42318 51722 63477 77583 84636 103444 126954 155166 190431 232749 253908 310332 380862 465498 698247 761724 930996 1396494 2094741 2792988 4189482 8378964