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61226368 = 277232971
BaseRepresentation
bin1110100110001…
…1110110000000
311021012121210021
43221203312000
5111133220433
610024143224
71342262350
oct351436600
9137177707
1061226368
1131619305
1218607b14
13c8b9228
1481bab60
15559622d
hex3a63d80

61226368 has 64 divisors (see below), whose sum is σ = 145509120. Its totient is φ = 25090560.

The previous prime is 61226359. The next prime is 61226369. The reversal of 61226368 is 86362216.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61226369) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19123 + ... + 22093.

It is an arithmetic number, because the mean of its divisors is an integer number (2273580).

Almost surely, 261226368 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 61226368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72754560).

61226368 is an abundant number, since it is smaller than the sum of its proper divisors (84282752).

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

61226368 is a wasteful number, since it uses less digits than its factorization.

61226368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3015 (or 3003 counting only the distinct ones).

The product of its digits is 20736, while the sum is 34.

The square root of 61226368 is about 7824.7279824924. The cubic root of 61226368 is about 394.1360554626.

The spelling of 61226368 in words is "sixty-one million, two hundred twenty-six thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 128 161 184 224 322 368 448 644 736 896 1288 1472 2576 2944 2971 5152 5942 10304 11884 20608 20797 23768 41594 47536 68333 83188 95072 136666 166376 190144 273332 332752 380288 478331 546664 665504 956662 1093328 1331008 1913324 2186656 2662016 3826648 4373312 7653296 8746624 15306592 30613184 61226368