Search a number
-
+
61936326 = 235314111
BaseRepresentation
bin1110110001000…
…1001011000110
311022112200200000
43230101023012
5111323430301
610051302130
71351310244
oct354211306
9138480600
1061936326
1131a63751
12188aa946
13caa741a
148323794
155686786
hex3b112c6

61936326 has 48 divisors (see below), whose sum is σ = 143689728. Its totient is φ = 19974600.

The previous prime is 61936319. The next prime is 61936337. The reversal of 61936326 is 62363916.

61936326 is a `hidden beast` number, since 6 + 19 + 3 + 632 + 6 = 666.

It is a super-2 number, since 2×619363262 = 7672216956756552, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13011 + ... + 17121.

It is an arithmetic number, because the mean of its divisors is an integer number (2993536).

Almost surely, 261936326 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61936326, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71844864).

61936326 is an abundant number, since it is smaller than the sum of its proper divisors (81753402).

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

61936326 is a wasteful number, since it uses less digits than its factorization.

61936326 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4159 (or 4147 counting only the distinct ones).

The product of its digits is 34992, while the sum is 36.

The square root of 61936326 is about 7869.9635323170. The cubic root of 61936326 is about 395.6536227354.

The spelling of 61936326 in words is "sixty-one million, nine hundred thirty-six thousand, three hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 31 54 62 81 93 162 186 243 279 486 558 837 1674 2511 4111 5022 7533 8222 12333 15066 24666 36999 73998 110997 127441 221994 254882 332991 382323 665982 764646 998973 1146969 1997946 2293938 3440907 6881814 10322721 20645442 30968163 61936326