Search a number
-
+
4242432672 = 25341636741
BaseRepresentation
bin1111110011011110…
…0110001010100000
3101221122212220120000
43330313212022200
532142030321142
61540550020000
7210063040242
oct37467461240
911848786500
104242432672
111887819505
129a4947600
13527c148ba
142c3620092
1519c6b214c
hexfcde62a0

4242432672 has 60 divisors (see below), whose sum is σ = 12476884266. Its totient is φ = 1414143360.

The previous prime is 4242432659. The next prime is 4242432713. The reversal of 4242432672 is 2762342424.

It can be written as a sum of positive squares in only one way, i.e., 2220671376 + 2021761296 = 47124^2 + 44964^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 815779 + ... + 820962.

Almost surely, 24242432672 is an apocalyptic number.

It is an amenable number.

4242432672 is an abundant number, since it is smaller than the sum of its proper divisors (8234451594).

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

4242432672 is a wasteful number, since it uses less digits than its factorization.

4242432672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1636763 (or 1636746 counting only the distinct ones).

The product of its digits is 129024, while the sum is 36.

The square root of 4242432672 is about 65133.9594374547. The cubic root of 4242432672 is about 1618.8439488871.

The spelling of 4242432672 in words is "four billion, two hundred forty-two million, four hundred thirty-two thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 1636741 3273482 4910223 6546964 9820446 13093928 14730669 19640892 26187856 29461338 39281784 44192007 52375712 58922676 78563568 88384014 117845352 132576021 157127136 176768028 235690704 265152042 353536056 471381408 530304084 707072112 1060608168 1414144224 2121216336 4242432672