Search a number
-
+
45984340 = 2253762141
BaseRepresentation
bin1010111101101…
…0101001010100
310012112020122201
42233122221110
543232444330
64321334244
71065601063
oct257325124
9105466581
1045984340
1123a58796
1213497384
1396b068c
1461701da
154084eca
hex2bdaa54

45984340 has 24 divisors (see below), whose sum is σ = 99178632. Its totient is φ = 17896320.

The previous prime is 45984319. The next prime is 45984349. The reversal of 45984340 is 4348954.

It can be written as a sum of positive squares in 4 ways, for example, as 21659716 + 24324624 = 4654^2 + 4932^2 .

It is a super-2 number, since 2×459843402 = 4229119050471200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 45984340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45984349) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30331 + ... + 31810.

It is an arithmetic number, because the mean of its divisors is an integer number (4132443).

Almost surely, 245984340 is an apocalyptic number.

It is an amenable number.

45984340 is an abundant number, since it is smaller than the sum of its proper divisors (53194292).

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

45984340 is a wasteful number, since it uses less digits than its factorization.

45984340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62187 (or 62185 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The square root of 45984340 is about 6781.1754143364. The cubic root of 45984340 is about 358.2641226826.

The spelling of 45984340 in words is "forty-five million, nine hundred eighty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 62141 124282 248564 310705 621410 1242820 2299217 4598434 9196868 11496085 22992170 45984340