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61912032 = 25371319373
BaseRepresentation
bin1110110000101…
…1001111100000
311022111110100020
43230023033200
5111322141112
610050553440
71351146360
oct354131740
9138443306
1061912032
1131a47476
1218898880
13ca99350
1483189a0
15567e48c
hex3b0b3e0

61912032 has 192 divisors, whose sum is σ = 211115520. Its totient is φ = 15427584.

The previous prime is 61912031. The next prime is 61912043. The reversal of 61912032 is 23021916.

61912032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 61911993 and 61912011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61912031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 165798 + ... + 166170.

It is an arithmetic number, because the mean of its divisors is an integer number (1099560).

Almost surely, 261912032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61912032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105557760).

61912032 is an abundant number, since it is smaller than the sum of its proper divisors (149203488).

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

61912032 is a wasteful number, since it uses less digits than its factorization.

61912032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 61912032 is about 7868.4199176201. The cubic root of 61912032 is about 395.6018853747.

Adding to 61912032 its reverse (23021916), we get a palindrome (84933948).

The spelling of 61912032 in words is "sixty-one million, nine hundred twelve thousand, thirty-two".