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61063938 = 23213594423
BaseRepresentation
bin1110100011110…
…0001100000010
311020220100222100
43220330030002
5111113021223
610020451230
71341014655
oct350741402
9136810870
1061063938
1131518271
1218549b16
13c860310
14817789c
155563043
hex3a3c302

61063938 has 48 divisors (see below), whose sum is σ = 144930240. Its totient is φ = 18466272.

The previous prime is 61063931. The next prime is 61063943. The reversal of 61063938 is 83936016.

It is a happy number.

61063938 is a `hidden beast` number, since 6 + 10 + 639 + 3 + 8 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (61063931) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 11595 + ... + 16017.

It is an arithmetic number, because the mean of its divisors is an integer number (3019380).

Almost surely, 261063938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61063938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72465120).

61063938 is an abundant number, since it is smaller than the sum of its proper divisors (83866302).

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

61063938 is a wasteful number, since it uses less digits than its factorization.

61063938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4503 (or 4500 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 61063938 is about 7814.3418148939. The cubic root of 61063938 is about 393.7872067638.

It can be divided in two parts, 61063 and 938, that added together give a square (62001 = 2492).

The spelling of 61063938 in words is "sixty-one million, sixty-three thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 9 13 18 26 39 59 78 117 118 177 234 354 531 767 1062 1534 2301 4423 4602 6903 8846 13269 13806 26538 39807 57499 79614 114998 172497 260957 344994 517491 521914 782871 1034982 1565742 2348613 3392441 4697226 6784882 10177323 20354646 30531969 61063938