Search a number
-
+
61484976 = 24327181337
BaseRepresentation
bin1110101010001…
…0111110110000
311021200202112100
43222202332300
5111220004401
610033500400
71344420330
oct352427660
9137622470
1061484976
1131785633
1218711700
13c979b57
1482470c0
1555e7b86
hex3aa2fb0

61484976 has 120 divisors (see below), whose sum is σ = 198327584. Its totient is φ = 17418240.

The previous prime is 61484963. The next prime is 61485013. The reversal of 61484976 is 67948416.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 182280 + ... + 182616.

Almost surely, 261484976 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 61484976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99163792).

61484976 is an abundant number, since it is smaller than the sum of its proper divisors (136842608).

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

61484976 is a wasteful number, since it uses less digits than its factorization.

61484976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 530 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 61484976 is about 7841.2356169165. The cubic root of 61484976 is about 394.6901934376.

The spelling of 61484976 in words is "sixty-one million, four hundred eighty-four thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 181 252 336 337 362 504 543 674 724 1008 1011 1086 1267 1348 1448 1629 2022 2172 2359 2534 2696 2896 3033 3258 3801 4044 4344 4718 5068 5392 6066 6516 7077 7602 8088 8688 9436 10136 11403 12132 13032 14154 15204 16176 18872 20272 21231 22806 24264 26064 28308 30408 37744 42462 45612 48528 56616 60816 60997 84924 91224 113232 121994 169848 182448 182991 243988 339696 365982 426979 487976 548973 731964 853958 975952 1097946 1280937 1463928 1707916 2195892 2561874 2927856 3415832 3842811 4391784 5123748 6831664 7685622 8783568 10247496 15371244 20494992 30742488 61484976