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4861332 = 22327101191
BaseRepresentation
bin10010100010110110010100
3100010222111100
4102202312110
52221030312
6252110100
756214660
oct22426624
910128440
104861332
112820433
121765330
131012938
149078a0
156605dc
hex4a2d94

4861332 has 72 divisors (see below), whose sum is σ = 14257152. Its totient is φ = 1368000.

The previous prime is 4861313. The next prime is 4861361. The reversal of 4861332 is 2331684.

It is a happy number.

4861332 is a `hidden beast` number, since 48 + 613 + 3 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4861296 and 4861305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25357 + ... + 25547.

It is an arithmetic number, because the mean of its divisors is an integer number (198016).

Almost surely, 24861332 is an apocalyptic number.

4861332 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 4861332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7128576).

4861332 is an abundant number, since it is smaller than the sum of its proper divisors (9395820).

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

4861332 is a wasteful number, since it uses less digits than its factorization.

4861332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 304 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 4861332 is about 2204.8428515429. The cubic root of 4861332 is about 169.4019585997.

The spelling of 4861332 in words is "four million, eight hundred sixty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 101 126 191 202 252 303 382 404 573 606 707 764 909 1146 1212 1337 1414 1719 1818 2121 2292 2674 2828 3438 3636 4011 4242 5348 6363 6876 8022 8484 12033 12726 16044 19291 24066 25452 38582 48132 57873 77164 115746 135037 173619 231492 270074 347238 405111 540148 694476 810222 1215333 1620444 2430666 4861332