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61390336 = 29722447
BaseRepresentation
bin1110101000101…
…1111000000000
311021111221201011
43222023320000
5111203442321
610031450304
71343544400
oct352137000
9137457634
1061390336
1131720517
1218686994
13c945a57
148220800
1555c9ae1
hex3a8be00

61390336 has 60 divisors (see below), whose sum is σ = 142745328. Its totient is φ = 26299392.

The previous prime is 61390321. The next prime is 61390337. The reversal of 61390336 is 63309316.

It is a junction number, because it is equal to n+sod(n) for n = 61390298 and 61390307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61390337) 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 5 ways as a sum of consecutive naturals, for example, 23865 + ... + 26311.

Almost surely, 261390336 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 61390336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71372664).

61390336 is an abundant number, since it is smaller than the sum of its proper divisors (81354992).

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

61390336 is an equidigital number, since it uses as much as digits as its factorization.

61390336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2479 (or 2456 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 31.

The square root of 61390336 is about 7835.1985297119. The cubic root of 61390336 is about 394.4875820896.

The spelling of 61390336 in words is "sixty-one million, three hundred ninety thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 512 784 896 1568 1792 2447 3136 3584 4894 6272 9788 12544 17129 19576 25088 34258 39152 68516 78304 119903 137032 156608 239806 274064 313216 479612 548128 626432 959224 1096256 1252864 1918448 2192512 3836896 4385024 7673792 8770048 15347584 30695168 61390336