Search a number
-
+
61922916 = 223211156371
BaseRepresentation
bin1110110000110…
…1111001100100
311022112000021100
43230031321210
5111323013131
610051120100
71351223166
oct354157144
9138460240
1061922916
1131a54670
12188a3030
13caa12a3
14831c936
1556827e6
hex3b0de64

61922916 has 36 divisors (see below), whose sum is σ = 170758224. Its totient is φ = 18764400.

The previous prime is 61922911. The next prime is 61922929.

61922916 is a `hidden beast` number, since 619 + 2 + 29 + 16 = 666.

61922916 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (61922911) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77790 + ... + 78581.

It is an arithmetic number, because the mean of its divisors is an integer number (4743284).

Almost surely, 261922916 is an apocalyptic number.

61922916 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

61922916 is an abundant number, since it is smaller than the sum of its proper divisors (108835308).

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

61922916 is a wasteful number, since it uses less digits than its factorization.

61922916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156392 (or 156387 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 61922916 is about 7869.1115127440. Note that the first 3 decimals coincide. The cubic root of 61922916 is about 395.6250659988.

The spelling of 61922916 in words is "sixty-one million, nine hundred twenty-two thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 156371 312742 469113 625484 938226 1407339 1720081 1876452 2814678 3440162 5160243 5629356 6880324 10320486 15480729 20640972 30961458 61922916