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61226064 = 2433239593
BaseRepresentation
bin1110100110001…
…1110001010000
311021012121101000
43221203301100
5111133213224
610024142000
71342261434
oct351436120
9137177330
1061226064
1131619059
1218607900
13c8b9053
1481ba9c4
1555960c9
hex3a63c50

61226064 has 80 divisors (see below), whose sum is σ = 176774400. Its totient is φ = 20289024.

The previous prime is 61226059. The next prime is 61226071. The reversal of 61226064 is 46062216.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102952 + ... + 103544.

It is an arithmetic number, because the mean of its divisors is an integer number (2209680).

Almost surely, 261226064 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 61226064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88387200).

61226064 is an abundant number, since it is smaller than the sum of its proper divisors (115548336).

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

61226064 is a wasteful number, since it uses less digits than its factorization.

61226064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 61226064 is about 7824.7085568729. The cubic root of 61226064 is about 394.1354031426.

The spelling of 61226064 in words is "sixty-one million, two hundred twenty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 239 432 478 593 717 956 1186 1434 1779 1912 2151 2372 2868 3558 3824 4302 4744 5337 5736 6453 7116 8604 9488 10674 11472 12906 14232 16011 17208 21348 25812 28464 32022 34416 42696 51624 64044 85392 103248 128088 141727 256176 283454 425181 566908 850362 1133816 1275543 1700724 2267632 2551086 3401448 3826629 5102172 6802896 7653258 10204344 15306516 20408688 30613032 61226064