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61794216 = 233211241173
BaseRepresentation
bin1110101110111…
…0011110101000
311022021110201200
43223232132220
5111304403331
610044244200
71350146031
oct353563650
9138243650
1061794216
1131976a00
1218840660
13ca57833
1482c7a88
1556595e6
hex3aee7a8

61794216 has 144 divisors (see below), whose sum is σ = 189532980. Its totient is φ = 18163200.

The previous prime is 61794209. The next prime is 61794223. The reversal of 61794216 is 61249716.

It is an interprime number because it is at equal distance from previous prime (61794209) and next prime (61794223).

It can be written as a sum of positive squares in 2 ways, for example, as 61685316 + 108900 = 7854^2 + 330^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 357106 + ... + 357278.

Almost surely, 261794216 is an apocalyptic number.

61794216 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 61794216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94766490).

61794216 is an abundant number, since it is smaller than the sum of its proper divisors (127738764).

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

61794216 is a wasteful number, since it uses less digits than its factorization.

61794216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 230 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 61794216 is about 7860.9297160069. The cubic root of 61794216 is about 395.3507880999.

The spelling of 61794216 in words is "sixty-one million, seven hundred ninety-four thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 41 44 66 72 82 88 99 121 123 132 164 173 198 242 246 264 328 346 363 369 396 451 484 492 519 692 726 738 792 902 968 984 1038 1089 1353 1384 1452 1476 1557 1804 1903 2076 2178 2706 2904 2952 3114 3608 3806 4059 4152 4356 4961 5412 5709 6228 7093 7612 8118 8712 9922 10824 11418 12456 14186 14883 15224 16236 17127 19844 20933 21279 22836 28372 29766 32472 34254 39688 41866 42558 44649 45672 56744 59532 62799 63837 68508 78023 83732 85116 89298 119064 125598 127674 137016 156046 167464 170232 178596 188397 234069 251196 255348 312092 357192 376794 468138 502392 510696 624184 702207 753588 858253 936276 1404414 1507176 1716506 1872552 2574759 2808828 3433012 5149518 5617656 6866024 7724277 10299036 15448554 20598072 30897108 61794216