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56244384 = 25327231213
BaseRepresentation
bin1101011010001…
…1100010100000
310220211111210100
43112203202200
5103344310014
65325302400
71252032540
oct326434240
9126744710
1056244384
1129826269
1216a04a00
13b863701
147681320
154e10009
hex35a38a0

56244384 has 144 divisors (see below), whose sum is σ = 190899072. Its totient is φ = 15358464.

The previous prime is 56244373. The next prime is 56244401. The reversal of 56244384 is 48344265.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

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, 45762 + ... + 46974.

It is an arithmetic number, because the mean of its divisors is an integer number (1325688).

Almost surely, 256244384 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 56244384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95449536).

56244384 is an abundant number, since it is smaller than the sum of its proper divisors (134654688).

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

56244384 is a wasteful number, since it uses less digits than its factorization.

56244384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1259 (or 1248 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 56244384 is about 7499.6255906545. The cubic root of 56244384 is about 383.1419643834.

The spelling of 56244384 in words is "fifty-six million, two hundred forty-four thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 28 32 36 42 46 48 56 63 69 72 84 92 96 112 126 138 144 161 168 184 207 224 252 276 288 322 336 368 414 483 504 552 644 672 736 828 966 1008 1104 1213 1288 1449 1656 1932 2016 2208 2426 2576 2898 3312 3639 3864 4852 5152 5796 6624 7278 7728 8491 9704 10917 11592 14556 15456 16982 19408 21834 23184 25473 27899 29112 33964 38816 43668 46368 50946 55798 58224 67928 76419 83697 87336 101892 111596 116448 135856 152838 167394 174672 195293 203784 223192 251091 271712 305676 334788 349344 390586 407568 446384 502182 585879 611352 669576 781172 815136 892768 1004364 1171758 1222704 1339152 1562344 1757637 2008728 2343516 2445408 2678304 3124688 3515274 4017456 4687032 6249376 7030548 8034912 9374064 14061096 18748128 28122192 56244384