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45393228 = 22323753643
BaseRepresentation
bin1010110100101…
…0010101001100
310011102012210200
42231022111030
543110040403
64300533500
71060556526
oct255122514
9104365720
1045393228
1123694671
1213251290
1395345ca
146058a16
153eb9ca3
hex2b4a54c

45393228 has 72 divisors (see below), whose sum is σ = 120255408. Its totient is φ = 14421888.

The previous prime is 45393221. The next prime is 45393239. The reversal of 45393228 is 82239354.

45393228 is a `hidden beast` number, since 45 + 393 + 228 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 45393192 and 45393201.

It is not an unprimeable number, because it can be changed into a prime (45393221) 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, 70275 + ... + 70917.

It is an arithmetic number, because the mean of its divisors is an integer number (1670214).

Almost surely, 245393228 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 45393228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60127704).

45393228 is an abundant number, since it is smaller than the sum of its proper divisors (74862180).

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

45393228 is a wasteful number, since it uses less digits than its factorization.

45393228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743 (or 738 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 45393228 is about 6737.4496658602. The cubic root of 45393228 is about 356.7223790845.

The spelling of 45393228 in words is "forty-five million, three hundred ninety-three thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 37 53 74 106 111 148 159 212 222 318 333 444 477 636 643 666 954 1286 1332 1908 1929 1961 2572 3858 3922 5787 5883 7716 7844 11574 11766 17649 23148 23532 23791 34079 35298 47582 68158 70596 71373 95164 102237 136316 142746 204474 214119 285492 306711 408948 428238 613422 856476 1226844 1260923 2521846 3782769 5043692 7565538 11348307 15131076 22696614 45393228