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12355044 = 22313292731
BaseRepresentation
bin101111001000…
…010111100100
3212020200221020
4233020113210
511130330134
61120451140
7210005352
oct57102744
925220836
1012355044
116a79589
124179ab0
1327377a0
1418d87d2
151140b49
hexbc85e4

12355044 has 48 divisors (see below), whose sum is σ = 32128320. Its totient is φ = 3669120.

The previous prime is 12355043. The next prime is 12355051. The reversal of 12355044 is 44055321.

12355044 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×123550442 = 305294224483872, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12355043) 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, 3159 + ... + 5889.

It is an arithmetic number, because the mean of its divisors is an integer number (669340).

Almost surely, 212355044 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 12355044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16064160).

12355044 is an abundant number, since it is smaller than the sum of its proper divisors (19773276).

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

12355044 is a wasteful number, since it uses less digits than its factorization.

12355044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2780 (or 2778 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 12355044 is about 3514.9742531063. The cubic root of 12355044 is about 231.1788498909.

The spelling of 12355044 in words is "twelve million, three hundred fifty-five thousand, forty-four".

Divisors: 1 2 3 4 6 12 13 26 29 39 52 58 78 87 116 156 174 348 377 754 1131 1508 2262 2731 4524 5462 8193 10924 16386 32772 35503 71006 79199 106509 142012 158398 213018 237597 316796 426036 475194 950388 1029587 2059174 3088761 4118348 6177522 12355044