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4422964 = 2271329419
BaseRepresentation
bin10000110111110100110100
322022201011111
4100313310310
52113013324
6234444404
752410640
oct20676464
98281144
104422964
112551047
121593704
13bbb250
14831c20
155c5794
hex437d34

4422964 has 48 divisors (see below), whose sum is σ = 9878400. Its totient is φ = 1685376.

The previous prime is 4422961. The next prime is 4422967. The reversal of 4422964 is 4692244.

It is an interprime number because it is at equal distance from previous prime (4422961) and next prime (4422967).

It is a super-2 number, since 2×44229642 = 39125221090592, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4422961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10347 + ... + 10765.

It is an arithmetic number, because the mean of its divisors is an integer number (205800).

Almost surely, 24422964 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 4422964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4939200).

4422964 is an abundant number, since it is smaller than the sum of its proper divisors (5455436).

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

4422964 is a wasteful number, since it uses less digits than its factorization.

4422964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 470 counting only the distinct ones).

The product of its digits is 13824, while the sum is 31.

The square root of 4422964 is about 2103.0844015398. The cubic root of 4422964 is about 164.1488337568.

The spelling of 4422964 in words is "four million, four hundred twenty-two thousand, nine hundred sixty-four".

Divisors: 1 2 4 7 13 14 26 28 29 52 58 91 116 182 203 364 377 406 419 754 812 838 1508 1676 2639 2933 5278 5447 5866 10556 10894 11732 12151 21788 24302 38129 48604 76258 85057 152516 157963 170114 315926 340228 631852 1105741 2211482 4422964