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45472830 = 2351328969
BaseRepresentation
bin1010110101110…
…1110000111110
310011120020222220
42231131300332
543120112310
64302350210
71061340564
oct255356076
9104506886
1045472830
1123739457
121328b366
139561900
146079a34
153ed3670
hex2b5dc3e

45472830 has 48 divisors (see below), whose sum is σ = 118188720. Its totient is φ = 11192064.

The previous prime is 45472789. The next prime is 45472831. The reversal of 45472830 is 3827454.

It is a junction number, because it is equal to n+sod(n) for n = 45472791 and 45472800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45472831) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 586 + ... + 9554.

It is an arithmetic number, because the mean of its divisors is an integer number (2462265).

Almost surely, 245472830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45472830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59094360).

45472830 is an abundant number, since it is smaller than the sum of its proper divisors (72715890).

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

45472830 is a wasteful number, since it uses less digits than its factorization.

45472830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9005 (or 8992 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 45472830 is about 6743.3545064752. The cubic root of 45472830 is about 356.9307745789.

The spelling of 45472830 in words is "forty-five million, four hundred seventy-two thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 169 195 338 390 507 845 1014 1690 2535 5070 8969 17938 26907 44845 53814 89690 116597 134535 233194 269070 349791 582985 699582 1165970 1515761 1748955 3031522 3497910 4547283 7578805 9094566 15157610 22736415 45472830