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4768644 = 2232971193
BaseRepresentation
bin10010001100001110000100
322222021100110
4102030032010
52210044034
6250113020
755350516
oct22141604
98867313
104768644
112767831
12171b770
13cac6aa
148c1bb6
15642de9
hex48c384

4768644 has 48 divisors (see below), whose sum is σ = 11733120. Its totient is φ = 1505280.

The previous prime is 4768633. The next prime is 4768661. The reversal of 4768644 is 4468674.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its 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, 24612 + ... + 24804.

It is an arithmetic number, because the mean of its divisors is an integer number (244440).

Almost surely, 24768644 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 4768644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5866560).

4768644 is an abundant number, since it is smaller than the sum of its proper divisors (6964476).

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

4768644 is a wasteful number, since it uses less digits than its factorization.

4768644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 298 counting only the distinct ones).

The product of its digits is 129024, while the sum is 39.

The square root of 4768644 is about 2183.7225098441. The cubic root of 4768644 is about 168.3184153909.

The spelling of 4768644 in words is "four million, seven hundred sixty-eight thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 12 29 58 71 87 116 142 174 193 213 284 348 386 426 579 772 852 1158 2059 2316 4118 5597 6177 8236 11194 12354 13703 16791 22388 24708 27406 33582 41109 54812 67164 82218 164436 397387 794774 1192161 1589548 2384322 4768644