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4229652 = 2237431171
BaseRepresentation
bin10000001000101000010100
321221212222210
4100020220110
52040322102
6230353420
750644230
oct20105024
97855883
104229652
112429889
1214bb870
13b5126b
147c15c0
1558836c
hex408a14

4229652 has 48 divisors (see below), whose sum is σ = 11551232. Its totient is φ = 1179360.

The previous prime is 4229639. The next prime is 4229657. The reversal of 4229652 is 2569224.

It is a super-2 number, since 2×42296522 = 35779912082208, which contains 22 as substring.

It is a d-powerful number, because it can be written as 411 + 29 + 211 + 9 + 6 + 5 + 215 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4229657) 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, 3027 + ... + 4197.

Almost surely, 24229652 is an apocalyptic number.

4229652 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4229652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5775616).

4229652 is an abundant number, since it is smaller than the sum of its proper divisors (7321580).

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

4229652 is a wasteful number, since it uses less digits than its factorization.

4229652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1228 (or 1226 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 4229652 is about 2056.6117766851. The cubic root of 4229652 is about 161.7216680866.

The spelling of 4229652 in words is "four million, two hundred twenty-nine thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 84 86 129 172 258 301 516 602 903 1171 1204 1806 2342 3513 3612 4684 7026 8197 14052 16394 24591 32788 49182 50353 98364 100706 151059 201412 302118 352471 604236 704942 1057413 1409884 2114826 4229652