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4940964 = 2232722801
BaseRepresentation
bin10010110110010010100100
3100022000201200
4102312102210
52231102324
6253522500
756666100
oct22662244
910260650
104940964
112875246
1217a3430
13103cc62
14928900
15678ec9
hex4b64a4

4940964 has 54 divisors (see below), whose sum is σ = 14533974. Its totient is φ = 1411200.

The previous prime is 4940959. The next prime is 4940977. The reversal of 4940964 is 4690494.

It can be written as a sum of positive squares in only one way, i.e., 4235364 + 705600 = 2058^2 + 840^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 364 + ... + 3164.

Almost surely, 24940964 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 4940964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7266987).

4940964 is an abundant number, since it is smaller than the sum of its proper divisors (9593010).

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

4940964 is a wasteful number, since it uses less digits than its factorization.

4940964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2825 (or 2813 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 4940964 is about 2222.8279285631. The cubic root of 4940964 is about 170.3219274696.

The spelling of 4940964 in words is "four million, nine hundred forty thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 2801 5602 8403 11204 16806 19607 25209 33612 39214 50418 58821 78428 100836 117642 137249 176463 235284 274498 352926 411747 548996 705852 823494 1235241 1646988 2470482 4940964