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45783216 = 2432349911
BaseRepresentation
bin1010111010100…
…1100010110000
310012011000202200
42232221202300
543210030331
64313143200
71064102523
oct256514260
9105130680
1045783216
1123930676
12133bab00
13963cc7b
14611abba
1540455e6
hex2ba98b0

45783216 has 60 divisors (see below), whose sum is σ = 128637600. Its totient is φ = 15200640.

The previous prime is 45783203. The next prime is 45783223. The reversal of 45783216 is 61238754.

It is a super-2 number, since 2×457832162 = 4192205734605312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49801 + ... + 50711.

It is an arithmetic number, because the mean of its divisors is an integer number (2143960).

Almost surely, 245783216 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 45783216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64318800).

45783216 is an abundant number, since it is smaller than the sum of its proper divisors (82854384).

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

45783216 is a wasteful number, since it uses less digits than its factorization.

45783216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1274 (or 1265 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 45783216 is about 6766.3295810949. The cubic root of 45783216 is about 357.7410401119.

The spelling of 45783216 in words is "forty-five million, seven hundred eighty-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 349 698 911 1047 1396 1822 2094 2733 2792 3141 3644 4188 5466 5584 6282 7288 8199 8376 10932 12564 14576 16398 16752 21864 25128 32796 43728 50256 65592 131184 317939 635878 953817 1271756 1907634 2543512 2861451 3815268 5087024 5722902 7630536 11445804 15261072 22891608 45783216