Search a number
-
+
2929312242 = 233128342281
BaseRepresentation
bin1010111010011001…
…1100000111110010
321120011000110222000
42232212130013302
521444400442432
61202401154430
7132406512633
oct25646340762
97504013860
102929312242
11127357a70a
1269902ba16
13378b6496c
141db08588a
1512227e57c
hexae99c1f2

2929312242 has 32 divisors (see below), whose sum is σ = 6514810560. Its totient is φ = 975653280.

The previous prime is 2929312231. The next prime is 2929312247. The reversal of 2929312242 is 2422139292.

It is a happy number.

It is a super-2 number, since 2×29293122422 = 17161740422262133128, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2929312197 and 2929312206.

It is not an unprimeable number, because it can be changed into a prime (2929312247) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 48142 + ... + 90422.

It is an arithmetic number, because the mean of its divisors is an integer number (203587830).

Almost surely, 22929312242 is an apocalyptic number.

2929312242 is an abundant number, since it is smaller than the sum of its proper divisors (3585498318).

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

2929312242 is a wasteful number, since it uses less digits than its factorization.

2929312242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43575 (or 43569 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 2929312242 is about 54123.1211405994. The cubic root of 2929312242 is about 1430.8317071534.

The spelling of 2929312242 in words is "two billion, nine hundred twenty-nine million, three hundred twelve thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 1283 2566 3849 7698 11547 23094 34641 42281 69282 84562 126843 253686 380529 761058 1141587 2283174 54246523 108493046 162739569 325479138 488218707 976437414 1464656121 2929312242