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61864452 = 223313139317
BaseRepresentation
bin1110101111111…
…1101000000100
311022102001002000
43223333220010
5111314130302
610045545300
71350560556
oct353775004
9138361060
1061864452
1131a14751
1218875230
13ca807b0
1483054d6
15567031c
hex3affa04

61864452 has 96 divisors (see below), whose sum is σ = 174518400. Its totient is φ = 18838656.

The previous prime is 61864427. The next prime is 61864463. The reversal of 61864452 is 25446816.

61864452 is a `hidden beast` number, since 6 + 1 + 8 + 644 + 5 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 194998 + ... + 195314.

It is an arithmetic number, because the mean of its divisors is an integer number (1817900).

Almost surely, 261864452 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 61864452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87259200).

61864452 is an abundant number, since it is smaller than the sum of its proper divisors (112653948).

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

61864452 is a wasteful number, since it uses less digits than its factorization.

61864452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 474 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 61864452 is about 7865.3958578065. The cubic root of 61864452 is about 395.5005181015.

The spelling of 61864452 in words is "sixty-one million, eight hundred sixty-four thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 139 156 234 278 317 351 417 468 556 634 702 834 951 1251 1268 1404 1668 1807 1902 2502 2853 3614 3753 3804 4121 5004 5421 5706 7228 7506 8242 8559 10842 11412 12363 15012 16263 16484 17118 21684 24726 32526 34236 37089 44063 48789 49452 65052 74178 88126 97578 111267 132189 148356 176252 195156 222534 264378 396567 445068 528756 572819 793134 1145638 1189701 1586268 1718457 2291276 2379402 3436914 4758804 5155371 6873828 10310742 15466113 20621484 30932226 61864452