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61399536 = 243111031129
BaseRepresentation
bin1110101000111…
…0000111110000
311021112102022220
43222032013300
5111204241121
610032001040
71343613252
oct352160760
9137472286
1061399536
1131727420
1218690180
13c949cb3
148223cd2
1555cc6c6
hex3a8e1f0

61399536 has 80 divisors (see below), whose sum is σ = 174869760. Its totient is φ = 18408960.

The previous prime is 61399517. The next prime is 61399549. The reversal of 61399536 is 63599316.

61399536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53820 + ... + 54948.

It is an arithmetic number, because the mean of its divisors is an integer number (2185872).

Almost surely, 261399536 is an apocalyptic number.

61399536 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 61399536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87434880).

61399536 is an abundant number, since it is smaller than the sum of its proper divisors (113470224).

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

61399536 is a wasteful number, since it uses less digits than its factorization.

61399536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1254 (or 1248 counting only the distinct ones).

The product of its digits is 131220, while the sum is 42.

The square root of 61399536 is about 7835.7856019674. The cubic root of 61399536 is about 394.5072871698.

The spelling of 61399536 in words is "sixty-one million, three hundred ninety-nine thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 103 132 176 206 264 309 412 528 618 824 1129 1133 1236 1648 2258 2266 2472 3387 3399 4516 4532 4944 6774 6798 9032 9064 12419 13548 13596 18064 18128 24838 27096 27192 37257 49676 54192 54384 74514 99352 116287 149028 198704 232574 298056 348861 465148 596112 697722 930296 1279157 1395444 1860592 2558314 2790888 3837471 5116628 5581776 7674942 10233256 15349884 20466512 30699768 61399536