Search a number
-
+
61604910 = 2325897691
BaseRepresentation
bin1110101100000…
…0010000101110
311021220212001100
43223000100232
5111232324120
610040223530
71345430103
oct353002056
9137825040
1061604910
1131857754
121876aba6
13c9bc613
148278aaa
15561d490
hex3ac042e

61604910 has 48 divisors (see below), whose sum is σ = 161993520. Its totient is φ = 16241280.

The previous prime is 61604899. The next prime is 61604941. The reversal of 61604910 is 1940616.

61604910 is a `hidden beast` number, since 616 + 0 + 49 + 1 + 0 = 666.

It is a super-2 number, since 2×616049102 = 7590329872216200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4165 + ... + 11855.

It is an arithmetic number, because the mean of its divisors is an integer number (3374865).

Almost surely, 261604910 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61604910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80996760).

61604910 is an abundant number, since it is smaller than the sum of its proper divisors (100388610).

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

61604910 is a wasteful number, since it uses less digits than its factorization.

61604910 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7793 (or 7790 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 61604910 is about 7848.8795378704. The cubic root of 61604910 is about 394.9466573269.

The spelling of 61604910 in words is "sixty-one million, six hundred four thousand, nine hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 89 90 178 267 445 534 801 890 1335 1602 2670 4005 7691 8010 15382 23073 38455 46146 69219 76910 115365 138438 230730 346095 684499 692190 1368998 2053497 3422495 4106994 6160491 6844990 10267485 12320982 20534970 30802455 61604910