Search a number
-
+
4414662252 = 223272112133743
BaseRepresentation
bin1000001110010001…
…00110011001101100
3102101122222002010100
410013020212121230
533020123143002
62010021311100
7214254003300
oct40710463154
912348862110
104414662252
111965a64100
12a32565490
135547c79b0
142dc453d00
151ac88311c
hex10722666c

4414662252 has 648 divisors, whose sum is σ = 16148500368. Its totient is φ = 1005903360.

The previous prime is 4414662247. The next prime is 4414662253. The reversal of 4414662252 is 2522664144.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4414662253) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 102666543 + ... + 102666585.

Almost surely, 24414662252 is an apocalyptic number.

4414662252 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4414662252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8074250184).

4414662252 is an abundant number, since it is smaller than the sum of its proper divisors (11733838116).

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

4414662252 is a wasteful number, since it uses less digits than its factorization.

4414662252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 116 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 4414662252 is about 66442.9247700611. The cubic root of 4414662252 is about 1640.4606890379.

It can be divided in two parts, 4414 and 662252, that added together give a palindrome (666666).

The spelling of 4414662252 in words is "four billion, four hundred fourteen million, six hundred sixty-two thousand, two hundred fifty-two".