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61561344 = 293133083
BaseRepresentation
bin1110101011010…
…1101000000000
311021211122021210
43222311220000
5111224430334
610035250120
71345156065
oct352655000
9137748253
1061561344
1131827a49
1218749940
13c9a5840
148266c6c
1556105e9
hex3ab5a00

61561344 has 80 divisors (see below), whose sum is σ = 176676192. Its totient is φ = 18935808.

The previous prime is 61561343. The next prime is 61561373. The reversal of 61561344 is 44316516.

It is not an unprimeable number, because it can be changed into a prime (61561343) 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 7 ways as a sum of consecutive naturals, for example, 18427 + ... + 21509.

Almost surely, 261561344 is an apocalyptic number.

61561344 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 61561344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88338096).

61561344 is an abundant number, since it is smaller than the sum of its proper divisors (115114848).

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

61561344 is a wasteful number, since it uses less digits than its factorization.

61561344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3117 (or 3101 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 61561344 is about 7846.1037464464. The cubic root of 61561344 is about 394.8535354007.

The spelling of 61561344 in words is "sixty-one million, five hundred sixty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 768 832 1248 1536 1664 2496 3083 3328 4992 6166 6656 9249 9984 12332 18498 19968 24664 36996 40079 49328 73992 80158 98656 120237 147984 160316 197312 240474 295968 320632 394624 480948 591936 641264 789248 961896 1183872 1282528 1578496 1923792 2367744 2565056 3847584 4735488 5130112 7695168 10260224 15390336 20520448 30780672 61561344