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61713456 = 2437613011
BaseRepresentation
bin1110101101101…
…0110000110000
311022010100221120
43223122300300
5111244312311
610042422240
71346361420
oct353326060
9138110846
1061713456
1131921262
1218801980
13ca29b4c
1482a6480
155640706
hex3adac30

61713456 has 80 divisors (see below), whose sum is σ = 185250048. Its totient is φ = 17337600.

The previous prime is 61713419. The next prime is 61713461. The reversal of 61713456 is 65431716.

61713456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 18991 + ... + 22001.

Almost surely, 261713456 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 61713456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92625024).

61713456 is an abundant number, since it is smaller than the sum of its proper divisors (123536592).

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

61713456 is a wasteful number, since it uses less digits than its factorization.

61713456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3090 (or 3084 counting only the distinct ones).

The product of its digits is 15120, while the sum is 33.

The square root of 61713456 is about 7855.7912395888. The cubic root of 61713456 is about 395.1784826041.

The spelling of 61713456 in words is "sixty-one million, seven hundred thirteen thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 61 84 112 122 168 183 244 336 366 427 488 732 854 976 1281 1464 1708 2562 2928 3011 3416 5124 6022 6832 9033 10248 12044 18066 20496 21077 24088 36132 42154 48176 63231 72264 84308 126462 144528 168616 183671 252924 337232 367342 505848 551013 734684 1011696 1102026 1285697 1469368 2204052 2571394 2938736 3857091 4408104 5142788 7714182 8816208 10285576 15428364 20571152 30856728 61713456