Search a number
-
+
4024227040 = 255137183587
BaseRepresentation
bin1110111111011100…
…1101010011100000
3101101110021220200221
43233313031103200
531220200231130
61503153052424
7201503236231
oct35767152340
911343256627
104024227040
111785631379
12943857114
134c1954b42
142a265d088
1518845d87a
hexefdcd4e0

4024227040 has 48 divisors (see below), whose sum is σ = 9576684432. Its totient is φ = 1597932544.

The previous prime is 4024227023. The next prime is 4024227043. The reversal of 4024227040 is 407224204.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 4024226996 and 4024227014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4024227043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69874 + ... + 113713.

It is an arithmetic number, because the mean of its divisors is an integer number (199514259).

Almost surely, 24024227040 is an apocalyptic number.

4024227040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4024227040 is an abundant number, since it is smaller than the sum of its proper divisors (5552457392).

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

4024227040 is a wasteful number, since it uses less digits than its factorization.

4024227040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183739 (or 183731 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 25.

The square root of 4024227040 is about 63436.7956315576. The cubic root of 4024227040 is about 1590.5994390773.

The spelling of 4024227040 in words is "four billion, twenty-four million, two hundred twenty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 137 160 274 548 685 1096 1370 2192 2740 4384 5480 10960 21920 183587 367174 734348 917935 1468696 1835870 2937392 3671740 5874784 7343480 14686960 25151419 29373920 50302838 100605676 125757095 201211352 251514190 402422704 503028380 804845408 1006056760 2012113520 4024227040