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61383744 = 26353947
BaseRepresentation
bin1110101000101…
…0010001000000
311021111121200000
43222022101000
5111203234434
610031400000
71343516232
oct352122100
9137447600
1061383744
1131716574
1218683000
13c942a56
14821c252
1555c7b99
hex3a8a440

61383744 has 84 divisors (see below), whose sum is σ = 182508144. Its totient is φ = 20456064.

The previous prime is 61383733. The next prime is 61383761. The reversal of 61383744 is 44738316.

61383744 is a `hidden beast` number, since 613 + 8 + 37 + 4 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 61383699 and 61383708.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13579 + ... + 17525.

It is an arithmetic number, because the mean of its divisors is an integer number (2172716).

Almost surely, 261383744 is an apocalyptic number.

61383744 is a gapful number since it is divisible by the number (64) 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 61383744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91254072).

61383744 is an abundant number, since it is smaller than the sum of its proper divisors (121124400).

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

61383744 is an equidigital number, since it uses as much as digits as its factorization.

61383744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3974 (or 3952 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 61383744 is about 7834.7778526261. Note that the first 3 decimals coincide. The cubic root of 61383744 is about 394.4734617606.

The spelling of 61383744 in words is "sixty-one million, three hundred eighty-three thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 864 972 1296 1728 1944 2592 3888 3947 5184 7776 7894 11841 15552 15788 23682 31576 35523 47364 63152 71046 94728 106569 126304 142092 189456 213138 252608 284184 319707 378912 426276 568368 639414 757824 852552 959121 1136736 1278828 1705104 1918242 2273472 2557656 3410208 3836484 5115312 6820416 7672968 10230624 15345936 20461248 30691872 61383744