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45838212 = 22372931607
BaseRepresentation
bin1010111011011…
…0111110000100
310012020211012120
42232312332010
543213310322
64314245540
71064422050
oct256667604
9105224176
1045838212
1123968a22
12134268b0
13965c004
146132c60
154056a5c
hex2bb6f84

45838212 has 96 divisors (see below), whose sum is σ = 130744320. Its totient is φ = 12216960.

The previous prime is 45838201. The next prime is 45838213. The reversal of 45838212 is 21283854.

It is a super-2 number, since 2×458382122 = 4202283358713888, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45838213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75213 + ... + 75819.

It is an arithmetic number, because the mean of its divisors is an integer number (1361920).

Almost surely, 245838212 is an apocalyptic number.

45838212 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 45838212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65372160).

45838212 is an abundant number, since it is smaller than the sum of its proper divisors (84906108).

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

45838212 is a wasteful number, since it uses less digits than its factorization.

45838212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 679 counting only the distinct ones).

The product of its digits is 15360, while the sum is 33.

The square root of 45838212 is about 6770.3923076879. The cubic root of 45838212 is about 357.8842254349.

The spelling of 45838212 in words is "forty-five million, eight hundred thirty-eight thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 31 42 58 62 84 87 93 116 124 174 186 203 217 348 372 406 434 607 609 651 812 868 899 1214 1218 1302 1798 1821 2428 2436 2604 2697 3596 3642 4249 5394 6293 7284 8498 10788 12586 12747 16996 17603 18817 18879 25172 25494 35206 37634 37758 50988 52809 56451 70412 75268 75516 105618 112902 123221 131719 211236 225804 246442 263438 369663 395157 492884 526876 545693 739326 790314 1091386 1478652 1580628 1637079 2182772 3274158 3819851 6548316 7639702 11459553 15279404 22919106 45838212