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61122656 = 257353773
BaseRepresentation
bin1110100100101…
…0100001100000
311021000100112002
43221022201200
5111121411111
610022023132
71341351110
oct351124140
9137010462
1061122656
11315583a1
1218577aa8
13c880c6a
148191040
15557563b
hex3a4a860

61122656 has 48 divisors (see below), whose sum is σ = 138093984. Its totient is φ = 26087424.

The previous prime is 61122653. The next prime is 61122673. The reversal of 61122656 is 65622116.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61122653) 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, 78686 + ... + 79458.

It is an arithmetic number, because the mean of its divisors is an integer number (2876958).

Almost surely, 261122656 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 61122656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69046992).

61122656 is an abundant number, since it is smaller than the sum of its proper divisors (76971328).

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

61122656 is a wasteful number, since it uses less digits than its factorization.

61122656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1143 (or 1135 counting only the distinct ones).

The product of its digits is 4320, while the sum is 29.

The square root of 61122656 is about 7818.0979784088. The cubic root of 61122656 is about 393.9133859270.

The spelling of 61122656 in words is "sixty-one million, one hundred twenty-two thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 353 706 773 1412 1546 2471 2824 3092 4942 5411 5648 6184 9884 10822 11296 12368 19768 21644 24736 39536 43288 79072 86576 173152 272869 545738 1091476 1910083 2182952 3820166 4365904 7640332 8731808 15280664 30561328 61122656