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56192448 = 2631347479
BaseRepresentation
bin1101011001011…
…0110111000000
310220201212112210
43112112313000
5103341124243
65324222120
71251425244
oct326266700
9126655483
1056192448
11297a0244
121699a940
13b845b90
14766a424
154dee933
hex3596dc0

56192448 has 112 divisors (see below), whose sum is σ = 163860480. Its totient is φ = 16886784.

The previous prime is 56192447. The next prime is 56192449. The reversal of 56192448 is 84429165.

56192448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (56192447) and next prime (56192449).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56192447) by changing a digit.

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, 117073 + ... + 117551.

It is an arithmetic number, because the mean of its divisors is an integer number (1463040).

Almost surely, 256192448 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 56192448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81930240).

56192448 is an abundant number, since it is smaller than the sum of its proper divisors (107668032).

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

56192448 is a wasteful number, since it uses less digits than its factorization.

56192448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 544 counting only the distinct ones).

The product of its digits is 69120, while the sum is 39.

The square root of 56192448 is about 7496.1622180953. The cubic root of 56192448 is about 383.0239971148.

The spelling of 56192448 in words is "fifty-six million, one hundred ninety-two thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 47 48 52 64 78 94 96 104 141 156 188 192 208 282 312 376 416 479 564 611 624 752 832 958 1128 1222 1248 1437 1504 1833 1916 2256 2444 2496 2874 3008 3666 3832 4512 4888 5748 6227 7332 7664 9024 9776 11496 12454 14664 15328 18681 19552 22513 22992 24908 29328 30656 37362 39104 45026 45984 49816 58656 67539 74724 90052 91968 99632 117312 135078 149448 180104 199264 270156 292669 298896 360208 398528 540312 585338 597792 720416 878007 1080624 1170676 1195584 1440832 1756014 2161248 2341352 3512028 4322496 4682704 7024056 9365408 14048112 18730816 28096224 56192448