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61422336 = 283253503
BaseRepresentation
bin1110101001001…
…1101100000000
311021120120121100
43222103230000
5111211003321
610032254400
71344036603
oct352235400
9137516540
1061422336
1131742568
12186a1400
13c9574a1
14822c33a
1555d4326
hex3a93b00

61422336 has 108 divisors (see below), whose sum is σ = 180795888. Its totient is φ = 20047872.

The previous prime is 61422329. The next prime is 61422379. The reversal of 61422336 is 63322416.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 121861 + ... + 122363.

It is an arithmetic number, because the mean of its divisors is an integer number (1674036).

Almost surely, 261422336 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 61422336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90397944).

61422336 is an abundant number, since it is smaller than the sum of its proper divisors (119373552).

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

61422336 is a wasteful number, since it uses less digits than its factorization.

61422336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 561 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 61422336 is about 7837.2403306266. The cubic root of 61422336 is about 394.5561130165.

The spelling of 61422336 in words is "sixty-one million, four hundred twenty-two thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 64 72 96 106 128 144 159 192 212 256 288 318 384 424 477 503 576 636 768 848 954 1006 1152 1272 1509 1696 1908 2012 2304 2544 3018 3392 3816 4024 4527 5088 6036 6784 7632 8048 9054 10176 12072 13568 15264 16096 18108 20352 24144 26659 30528 32192 36216 40704 48288 53318 61056 64384 72432 79977 96576 106636 122112 128768 144864 159954 193152 213272 239931 289728 319908 386304 426544 479862 579456 639816 853088 959724 1158912 1279632 1706176 1919448 2559264 3412352 3838896 5118528 6824704 7677792 10237056 15355584 20474112 30711168 61422336