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61397232 = 24313611613
BaseRepresentation
bin1110101000110…
…1100011110000
311021112022011120
43222031203300
5111204202412
610031542240
71343603451
oct352154360
9137468146
1061397232
1131725716
121868a980
13c948c30
148223128
1555cbb8c
hex3a8d8f0

61397232 has 80 divisors (see below), whose sum is σ = 173718048. Its totient is φ = 18570240.

The previous prime is 61397221. The next prime is 61397239. The reversal of 61397232 is 23279316.

It is a happy number.

61397232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 61397193 and 61397202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61397239) 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 15 ways as a sum of consecutive naturals, for example, 37258 + ... + 38870.

Almost surely, 261397232 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 61397232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86859024).

61397232 is an abundant number, since it is smaller than the sum of its proper divisors (112320816).

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

61397232 is a wasteful number, since it uses less digits than its factorization.

61397232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1698 (or 1692 counting only the distinct ones).

The product of its digits is 13608, while the sum is 33.

The square root of 61397232 is about 7835.6385827832. The cubic root of 61397232 is about 394.5023525171.

The spelling of 61397232 in words is "sixty-one million, three hundred ninety-seven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 61 78 104 122 156 183 208 244 312 366 488 624 732 793 976 1464 1586 1613 2379 2928 3172 3226 4758 4839 6344 6452 9516 9678 12688 12904 19032 19356 20969 25808 38064 38712 41938 62907 77424 83876 98393 125814 167752 196786 251628 295179 335504 393572 503256 590358 787144 1006512 1180716 1279109 1574288 2361432 2558218 3837327 4722864 5116436 7674654 10232872 15349308 20465744 30698616 61397232