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61246044 = 2234199949
BaseRepresentation
bin1110100110100…
…0101001011100
311021020121210000
43221220221130
5111134333134
610024414300
71342403616
oct351505134
9137217700
1061246044
1131632072
1218617390
13c8c5182
1481c3db6
15559be99
hex3a68a5c

61246044 has 60 divisors (see below), whose sum is σ = 168553000. Its totient is φ = 19338912.

The previous prime is 61246039. The next prime is 61246099. The reversal of 61246044 is 44064216.

61246044 is a `hidden beast` number, since 612 + 4 + 6 + 0 + 44 = 666.

61246044 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 (27).

It is a junction number, because it is equal to n+sod(n) for n = 61245999 and 61246017.

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 1182 + ... + 11130.

Almost surely, 261246044 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 61246044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84276500).

61246044 is an abundant number, since it is smaller than the sum of its proper divisors (107306956).

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

61246044 is a wasteful number, since it uses less digits than its factorization.

61246044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9984 (or 9973 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 61246044 is about 7825.9851775990. The cubic root of 61246044 is about 394.1782714266.

It can be divided in two parts, 612 and 46044, that added together give a 6-th power (46656 = 66).

The spelling of 61246044 in words is "sixty-one million, two hundred forty-six thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 324 342 513 684 1026 1539 2052 3078 6156 9949 19898 29847 39796 59694 89541 119388 179082 189031 268623 358164 378062 537246 567093 756124 805869 1074492 1134186 1611738 1701279 2268372 3223476 3402558 5103837 6805116 10207674 15311511 20415348 30623022 61246044