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61397424 = 24321183467
BaseRepresentation
bin1110101000110…
…1100110110000
311021112022102200
43222031212300
5111204204144
610031543200
71343604144
oct352154660
9137468380
1061397424
1131725880
121868ab00
13c94904a
148223224
1555cbc69
hex3a8d9b0

61397424 has 120 divisors (see below), whose sum is σ = 190112832. Its totient is φ = 18341760.

The previous prime is 61397389. The next prime is 61397429. The reversal of 61397424 is 42479316.

61397424 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 (36).

It is not an unprimeable number, because it can be changed into a prime (61397429) 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 23 ways as a sum of consecutive naturals, for example, 131239 + ... + 131705.

Almost surely, 261397424 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 61397424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95056416).

61397424 is an abundant number, since it is smaller than the sum of its proper divisors (128715408).

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

61397424 is a wasteful number, since it uses less digits than its factorization.

61397424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575 (or 566 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 61397424 is about 7835.6508344872. The cubic root of 61397424 is about 394.5027637428.

The spelling of 61397424 in words is "sixty-one million, three hundred ninety-seven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 83 88 99 132 144 166 176 198 249 264 332 396 467 498 528 664 747 792 913 934 996 1328 1401 1494 1584 1826 1868 1992 2739 2802 2988 3652 3736 3984 4203 5137 5478 5604 5976 7304 7472 8217 8406 10274 10956 11208 11952 14608 15411 16434 16812 20548 21912 22416 30822 32868 33624 38761 41096 43824 46233 61644 65736 67248 77522 82192 92466 116283 123288 131472 155044 184932 232566 246576 310088 348849 369864 426371 465132 620176 697698 739728 852742 930264 1279113 1395396 1705484 1860528 2558226 2790792 3410968 3837339 5116452 5581584 6821936 7674678 10232904 15349356 20465808 30698712 61397424