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61485336 = 233211292677
BaseRepresentation
bin1110101010001…
…1000100011000
311021200210000200
43222203010120
5111220012321
610033502200
71344421353
oct352430430
9137623020
1061485336
1131785930
1218711960
13c97a073
14824729a
1555e7d26
hex3aa3118

61485336 has 96 divisors (see below), whose sum is σ = 187995600. Its totient is φ = 17982720.

The previous prime is 61485331. The next prime is 61485341. The reversal of 61485336 is 63358416.

61485336 is a `hidden beast` number, since 614 + 8 + 5 + 3 + 36 = 666.

It is an interprime number because it is at equal distance from previous prime (61485331) and next prime (61485341).

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

It is a self number, because there is not a number n which added to its sum of digits gives 61485336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61485331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21630 + ... + 24306.

Almost surely, 261485336 is an apocalyptic number.

61485336 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 61485336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93997800).

61485336 is an abundant number, since it is smaller than the sum of its proper divisors (126510264).

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

61485336 is a wasteful number, since it uses less digits than its factorization.

61485336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2729 (or 2722 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 61485336 is about 7841.2585724487. The cubic root of 61485336 is about 394.6909637515.

Subtracting 61485336 from its reverse (63358416), we obtain a triangular number (1873080 = T1935).

The spelling of 61485336 in words is "sixty-one million, four hundred eighty-five thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 29 33 36 44 58 66 72 87 88 99 116 132 174 198 232 261 264 319 348 396 522 638 696 792 957 1044 1276 1914 2088 2552 2677 2871 3828 5354 5742 7656 8031 10708 11484 16062 21416 22968 24093 29447 32124 48186 58894 64248 77633 88341 96372 117788 155266 176682 192744 232899 235576 265023 310532 353364 465798 530046 621064 698697 706728 853963 931596 1060092 1397394 1707926 1863192 2120184 2561889 2794788 3415852 5123778 5589576 6831704 7685667 10247556 15371334 20495112 30742668 61485336