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61921938 = 2313279773
BaseRepresentation
bin1110110000110…
…1101010010010
311022111221221010
43230031222102
5111323000223
610051111350
71351220301
oct354155222
9138457833
1061921938
1131a53961
12188a2556
13caa0a00
14831c438
155682393
hex3b0da92

61921938 has 48 divisors (see below), whose sum is σ = 135976320. Its totient is φ = 18787392.

The previous prime is 61921913. The next prime is 61921949. The reversal of 61921938 is 83912916.

61921938 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 (39).

It is a junction number, because it is equal to n+sod(n) for n = 61921896 and 61921905.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 79720 + ... + 80492.

It is an arithmetic number, because the mean of its divisors is an integer number (2832840).

Almost surely, 261921938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61921938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67988160).

61921938 is an abundant number, since it is smaller than the sum of its proper divisors (74054382).

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

61921938 is a wasteful number, since it uses less digits than its factorization.

61921938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883 (or 870 counting only the distinct ones).

The product of its digits is 23328, while the sum is 39.

The square root of 61921938 is about 7869.0493707944. The cubic root of 61921938 is about 395.6229831762.

The spelling of 61921938 in words is "sixty-one million, nine hundred twenty-one thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 13 26 39 78 79 158 169 237 338 474 507 773 1014 1027 1546 2054 2319 3081 4638 6162 10049 13351 20098 26702 30147 40053 60294 61067 80106 122134 130637 183201 261274 366402 391911 783822 793871 1587742 2381613 4763226 10320323 20640646 30960969 61921938