Search a number
-
+
45714440 = 2352939409
BaseRepresentation
bin1010111001100…
…0110000001000
310012000112102102
42232120300020
543200330230
64311452532
71063365152
oct256306010
9105015372
1045714440
1123893a32
1213387148
139617885
1460ddad2
154030045
hex2b98c08

45714440 has 32 divisors (see below), whose sum is σ = 106407000. Its totient is φ = 17654784.

The previous prime is 45714433. The next prime is 45714481. The reversal of 45714440 is 4441754.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 37773316 + 7941124 = 6146^2 + 2818^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18545 + ... + 20864.

Almost surely, 245714440 is an apocalyptic number.

45714440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45714440 is an abundant number, since it is smaller than the sum of its proper divisors (60692560).

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

45714440 is a wasteful number, since it uses less digits than its factorization.

45714440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39449 (or 39445 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 29.

The square root of 45714440 is about 6761.2454474009. The cubic root of 45714440 is about 357.5618162948.

The spelling of 45714440 in words is "forty-five million, seven hundred fourteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 39409 78818 157636 197045 315272 394090 788180 1142861 1576360 2285722 4571444 5714305 9142888 11428610 22857220 45714440