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61261002 = 23311151683
BaseRepresentation
bin1110100110110…
…0010011001010
311021021101022000
43221230103022
5111140323002
610025011430
71342465335
oct351542312
9137241260
1061261002
1131642330
1218623b76
13c8cbc1a
1481c961c
1555a161c
hex3a6c4ca

61261002 has 64 divisors (see below), whose sum is σ = 149713920. Its totient is φ = 18414000.

The previous prime is 61260977. The next prime is 61261003. The reversal of 61261002 is 20016216.

It is a happy number.

61261002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (61261003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89353 + ... + 90035.

It is an arithmetic number, because the mean of its divisors is an integer number (2339280).

Almost surely, 261261002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61261002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74856960).

61261002 is an abundant number, since it is smaller than the sum of its proper divisors (88452918).

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

61261002 is a wasteful number, since it uses less digits than its factorization.

61261002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 61261002 is about 7826.9407816848. The cubic root of 61261002 is about 394.2103586074.

Adding to 61261002 its reverse (20016216), we get a palindrome (81277218).

The spelling of 61261002 in words is "sixty-one million, two hundred sixty-one thousand, two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 151 198 297 302 453 594 683 906 1359 1366 1661 2049 2718 3322 4077 4098 4983 6147 7513 8154 9966 12294 14949 15026 18441 22539 29898 36882 44847 45078 67617 89694 103133 135234 202851 206266 309399 405702 618798 928197 1134463 1856394 2268926 2784591 3403389 5569182 6806778 10210167 20420334 30630501 61261002