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45724572 = 223273127137
BaseRepresentation
bin1010111001101…
…1001110011100
310012001001022200
42232123032130
543201141242
64312011500
71063436535
oct256331634
9105031280
1045724572
11238a0603
1213390b90
13961c37a
14610368c
15403304c
hex2b9b39c

45724572 has 72 divisors (see below), whose sum is σ = 118949376. Its totient is φ = 14805504.

The previous prime is 45724571. The next prime is 45724573. The reversal of 45724572 is 27542754.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (45724571) and next prime (45724573).

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (45724571) 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, 333688 + ... + 333824.

Almost surely, 245724572 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 45724572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59474688).

45724572 is an abundant number, since it is smaller than the sum of its proper divisors (73224804).

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

45724572 is a wasteful number, since it uses less digits than its factorization.

45724572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 342 counting only the distinct ones).

The product of its digits is 78400, while the sum is 36.

The square root of 45724572 is about 6761.9946761292. The cubic root of 45724572 is about 357.5882306233.

The spelling of 45724572 in words is "forty-five million, seven hundred twenty-four thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 73 127 137 146 219 254 274 292 381 411 438 508 548 657 762 822 876 1143 1233 1314 1524 1644 2286 2466 2628 4572 4932 9271 10001 17399 18542 20002 27813 30003 34798 37084 40004 52197 55626 60006 69596 83439 90009 104394 111252 120012 156591 166878 180018 208788 313182 333756 360036 626364 1270127 2540254 3810381 5080508 7620762 11431143 15241524 22862286 45724572