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4066764 = 22313131199
BaseRepresentation
bin1111100000110111001100
321122121112220
433200313030
52020114024
6223055340
746365312
oct17406714
97577486
104066764
112328469
121441550
13ac5090
1477c0b2
15554e79
hex3e0dcc

4066764 has 48 divisors (see below), whose sum is σ = 10348800. Its totient is φ = 1235520.

The previous prime is 4066759. The next prime is 4066789. The reversal of 4066764 is 4676604.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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, 20337 + ... + 20535.

It is an arithmetic number, because the mean of its divisors is an integer number (215600).

Almost surely, 24066764 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 4066764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5174400).

4066764 is an abundant number, since it is smaller than the sum of its proper divisors (6282036).

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

4066764 is a wasteful number, since it uses less digits than its factorization.

4066764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 4066764 is about 2016.6219278784. The cubic root of 4066764 is about 159.6184135889.

The spelling of 4066764 in words is "four million, sixty-six thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 131 156 199 262 393 398 524 597 786 796 1194 1572 1703 2388 2587 3406 5109 5174 6812 7761 10218 10348 15522 20436 26069 31044 52138 78207 104276 156414 312828 338897 677794 1016691 1355588 2033382 4066764