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61251372 = 223272132671
BaseRepresentation
bin1110100110100…
…1111100101100
311021020220002100
43221221330230
5111140020442
610024455100
71342425300
oct351517454
9137226070
1061251372
1131636076
121861a490
13c8c7720
1481c5d00
15559d84c
hex3a69f2c

61251372 has 108 divisors (see below), whose sum is σ = 194035296. Its totient is φ = 16148160.

The previous prime is 61251353. The next prime is 61251373. The reversal of 61251372 is 27315216.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (61251373) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21597 + ... + 24267.

Almost surely, 261251372 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 61251372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97017648).

61251372 is an abundant number, since it is smaller than the sum of its proper divisors (132783924).

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

61251372 is a wasteful number, since it uses less digits than its factorization.

61251372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2708 (or 2696 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 61251372 is about 7826.3255746231. The cubic root of 61251372 is about 394.1897013944.

Adding to 61251372 its reverse (27315216), we get a palindrome (88566588).

It can be divided in two parts, 612 and 51372, that added together give a square (51984 = 2282).

The spelling of 61251372 in words is "sixty-one million, two hundred fifty-one thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 49 52 63 78 84 91 98 117 126 147 156 182 196 234 252 273 294 364 441 468 546 588 637 819 882 1092 1274 1638 1764 1911 2548 2671 3276 3822 5342 5733 7644 8013 10684 11466 16026 18697 22932 24039 32052 34723 37394 48078 56091 69446 74788 96156 104169 112182 130879 138892 168273 208338 224364 243061 261758 312507 336546 392637 416676 486122 523516 625014 673092 729183 785274 972244 1177911 1250028 1458366 1570548 1701427 2187549 2355822 2916732 3402854 4375098 4711644 5104281 6805708 8750196 10208562 15312843 20417124 30625686 61251372