Search a number
-
+
4242213380 = 2252329318007
BaseRepresentation
bin1111110011011011…
…0000101000000100
3101221122110202202002
43330312300220010
532142001312010
61540541204432
7210061135016
oct37466605004
911848422662
104242213380
111887689779
129a4860718
13527b68b42
142c35a41b6
1519c66c1a5
hexfcdb0a04

4242213380 has 48 divisors (see below), whose sum is σ = 9616561920. Its totient is φ = 1567133568.

The previous prime is 4242213347. The next prime is 4242213397. The reversal of 4242213380 is 833122424.

It is a super-3 number, since 3×42422133803 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145664 + ... + 172343.

It is an arithmetic number, because the mean of its divisors is an integer number (200345040).

Almost surely, 24242213380 is an apocalyptic number.

It is an amenable number.

4242213380 is an abundant number, since it is smaller than the sum of its proper divisors (5374348540).

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

4242213380 is a wasteful number, since it uses less digits than its factorization.

4242213380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318068 (or 318066 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

The square root of 4242213380 is about 65132.2760234893. The cubic root of 4242213380 is about 1618.8160556419.

The spelling of 4242213380 in words is "four billion, two hundred forty-two million, two hundred thirteen thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 23 29 46 58 92 115 116 145 230 290 460 580 667 1334 2668 3335 6670 13340 318007 636014 1272028 1590035 3180070 6360140 7314161 9222203 14628322 18444406 29256644 36570805 36888812 46111015 73141610 92222030 146283220 184444060 212110669 424221338 848442676 1060553345 2121106690 4242213380