Search a number
-
+
440015072 = 25719103387
BaseRepresentation
bin11010001110100…
…001100011100000
31010122222002012112
4122032201203200
51400120440242
6111355014452
713622031530
oct3216414340
91118862175
10440015072
11206416922
1210343a428
1370211c63
144261d4c0
1528969c82
hex1a3a18e0

440015072 has 48 divisors (see below), whose sum is σ = 1042151040. Its totient is φ = 178651008.

The previous prime is 440015071. The next prime is 440015083. The reversal of 440015072 is 270510044.

It is a super-2 number, since 2×4400150722 = 387226527174330368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440015071) 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, 47438 + ... + 55949.

It is an arithmetic number, because the mean of its divisors is an integer number (21711480).

Almost surely, 2440015072 is an apocalyptic number.

It is an amenable number.

440015072 is an abundant number, since it is smaller than the sum of its proper divisors (602135968).

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

440015072 is a wasteful number, since it uses less digits than its factorization.

440015072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103423 (or 103415 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 23.

The square root of 440015072 is about 20976.5362250301. The cubic root of 440015072 is about 760.5991766136.

The spelling of 440015072 in words is "four hundred forty million, fifteen thousand, seventy-two".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 76 112 133 152 224 266 304 532 608 1064 2128 4256 103387 206774 413548 723709 827096 1447418 1654192 1964353 2894836 3308384 3928706 5789672 7857412 11579344 13750471 15714824 23158688 27500942 31429648 55001884 62859296 110003768 220007536 440015072