Search a number
-
+
45792440 = 2352514561
BaseRepresentation
bin1010111010101…
…1110010111000
310012011111102022
42232223302320
543210324230
64313254012
71064141441
oct256536270
9105144368
1045792440
11239375a1
1213404308
139644225
1461202c8
1540481e5
hex2babcb8

45792440 has 32 divisors (see below), whose sum is σ = 103466160. Its totient is φ = 18240000.

The previous prime is 45792433. The next prime is 45792493. The reversal of 45792440 is 4429754.

It is a super-2 number, since 2×457924402 = 4193895122307200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 45792440.

It is a congruent number.

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, 7760 + ... + 12320.

Almost surely, 245792440 is an apocalyptic number.

45792440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45792440 is an abundant number, since it is smaller than the sum of its proper divisors (57673720).

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

45792440 is a wasteful number, since it uses less digits than its factorization.

45792440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4823 (or 4819 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 45792440 is about 6767.0111570767. The cubic root of 45792440 is about 357.7650633389.

The spelling of 45792440 in words is "forty-five million, seven hundred ninety-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 251 502 1004 1255 2008 2510 4561 5020 9122 10040 18244 22805 36488 45610 91220 182440 1144811 2289622 4579244 5724055 9158488 11448110 22896220 45792440