Search a number
-
+
61531350 = 23523111319
BaseRepresentation
bin1110101010111…
…0010011010110
311021210010010220
43222232103112
5111223000400
610034455210
71345002456
oct352562326
9137703126
1061531350
1131807461
1218734506
13c994caa
148259d66
1556067a0
hex3aae4d6

61531350 has 48 divisors (see below), whose sum is σ = 153204480. Its totient is φ = 16343200.

The previous prime is 61531297. The next prime is 61531391. The reversal of 61531350 is 5313516.

It is a super-2 number, since 2×615313502 = 7572214065645000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 61531350.

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, 45991 + ... + 47309.

It is an arithmetic number, because the mean of its divisors is an integer number (3191760).

Almost surely, 261531350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61531350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76602240).

61531350 is an abundant number, since it is smaller than the sum of its proper divisors (91673130).

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

61531350 is a wasteful number, since it uses less digits than its factorization.

61531350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1645 (or 1640 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 24.

The square root of 61531350 is about 7844.1921190139. The cubic root of 61531350 is about 394.7893979614.

Adding to 61531350 its reverse (5313516), we get a palindrome (66844866).

It can be divided in two parts, 6153 and 1350, that added together give a triangular number (7503 = T122).

The spelling of 61531350 in words is "sixty-one million, five hundred thirty-one thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 311 622 933 1319 1555 1866 2638 3110 3957 4665 6595 7775 7914 9330 13190 15550 19785 23325 32975 39570 46650 65950 98925 197850 410209 820418 1230627 2051045 2461254 4102090 6153135 10255225 12306270 20510450 30765675 61531350