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61616104 = 23112531201
BaseRepresentation
bin1110101100001…
…0111111101000
311021221102101221
43223002333220
5111233203404
610040351424
71345504534
oct353027750
9137842357
1061616104
1131865100
1218775574
13c9c4744
14827cbc4
155621954
hex3ac2fe8

61616104 has 48 divisors (see below), whose sum is σ = 129491460. Its totient is φ = 27456000.

The previous prime is 61616101. The next prime is 61616123. The reversal of 61616104 is 40161616.

It can be written as a sum of positive squares in 2 ways, for example, as 57608100 + 4008004 = 7590^2 + 2002^2 .

It is not an unprimeable number, because it can be changed into a prime (61616101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50704 + ... + 51904.

Almost surely, 261616104 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 61616104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64745730).

61616104 is an abundant number, since it is smaller than the sum of its proper divisors (67875356).

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

61616104 is a wasteful number, since it uses less digits than its factorization.

61616104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282 (or 1267 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 61616104 is about 7849.5926008934. The cubic root of 61616104 is about 394.9705773096.

The spelling of 61616104 in words is "sixty-one million, six hundred sixteen thousand, one hundred four".

Divisors: 1 2 4 8 11 22 44 53 88 106 121 212 242 424 484 583 968 1166 1201 2332 2402 4664 4804 6413 9608 12826 13211 25652 26422 51304 52844 63653 105688 127306 145321 254612 290642 509224 581284 700183 1162568 1400366 2800732 5601464 7702013 15404026 30808052 61616104