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61975056 = 24311139029
BaseRepresentation
bin1110110001101…
…0101000010000
311022121122210110
43230122220100
5111331200211
610052201320
71351531203
oct354325020
9138548713
1061975056
1131a8a860
1218909240
13cabbc40
14833393a
155692ea6
hex3b1aa10

61975056 has 80 divisors (see below), whose sum is σ = 188112960. Its totient is φ = 17333760.

The previous prime is 61975051. The next prime is 61975097. The reversal of 61975056 is 65057916.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (61975051) 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 15 ways as a sum of consecutive naturals, for example, 2350 + ... + 11378.

It is an arithmetic number, because the mean of its divisors is an integer number (2351412).

Almost surely, 261975056 is an apocalyptic number.

61975056 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61975056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94056480).

61975056 is an abundant number, since it is smaller than the sum of its proper divisors (126137904).

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

61975056 is a wasteful number, since it uses less digits than its factorization.

61975056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9064 (or 9058 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 39.

The square root of 61975056 is about 7872.4237690815. The cubic root of 61975056 is about 395.7360755427.

The spelling of 61975056 in words is "sixty-one million, nine hundred seventy-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 104 132 143 156 176 208 264 286 312 429 528 572 624 858 1144 1716 2288 3432 6864 9029 18058 27087 36116 54174 72232 99319 108348 117377 144464 198638 216696 234754 297957 352131 397276 433392 469508 595914 704262 794552 939016 1191828 1291147 1408524 1589104 1878032 2383656 2582294 2817048 3873441 4767312 5164588 5634096 7746882 10329176 15493764 20658352 30987528 61975056