Search a number
-
+
61116552 = 2333783487
BaseRepresentation
bin1110100100100…
…1000010001000
311021000001011000
43221021002020
5111121212202
610021535000
71341324240
oct351110210
9137001130
1061116552
1131553852
1218574460
13c87b253
14818cb20
15557391c
hex3a49088

61116552 has 128 divisors (see below), whose sum is σ = 196761600. Its totient is φ = 17216064.

The previous prime is 61116551. The next prime is 61116557. The reversal of 61116552 is 25561116.

It is a happy number.

61116552 is a `hidden beast` number, since 6 + 1 + 1 + 1 + 655 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (61116551) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125253 + ... + 125739.

It is an arithmetic number, because the mean of its divisors is an integer number (1537200).

Almost surely, 261116552 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 61116552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98380800).

61116552 is an abundant number, since it is smaller than the sum of its proper divisors (135645048).

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

61116552 is a wasteful number, since it uses less digits than its factorization.

61116552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 582 counting only the distinct ones).

The product of its digits is 1800, while the sum is 27.

The square root of 61116552 is about 7817.7075923828. The cubic root of 61116552 is about 393.9002728005.

Adding to 61116552 its reverse (25561116), we get a palindrome (86677668).

The spelling of 61116552 in words is "sixty-one million, one hundred sixteen thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 83 84 108 126 166 168 189 216 249 252 332 378 487 498 504 581 664 747 756 974 996 1162 1461 1494 1512 1743 1948 1992 2241 2324 2922 2988 3409 3486 3896 4383 4482 4648 5229 5844 5976 6818 6972 8766 8964 10227 10458 11688 13149 13636 13944 15687 17532 17928 20454 20916 26298 27272 30681 31374 35064 40421 40908 41832 52596 61362 62748 80842 81816 92043 105192 121263 122724 125496 161684 184086 242526 245448 282947 323368 363789 368172 485052 565894 727578 736344 848841 970104 1091367 1131788 1455156 1697682 2182734 2263576 2546523 2910312 3395364 4365468 5093046 6790728 7639569 8730936 10186092 15279138 20372184 30558276 61116552