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56170416 = 2432383613
BaseRepresentation
bin1101011001000…
…1011110110000
310220200202022210
43112101132300
5103334423131
65323532120
71251304101
oct326213660
9126622283
1056170416
1129785735
121698a040
13b838b43
1476623a8
154de8146
hex35917b0

56170416 has 80 divisors (see below), whose sum is σ = 153490176. Its totient is φ = 17664768.

The previous prime is 56170319. The next prime is 56170417. The reversal of 56170416 is 61407165.

56170416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×561704162 = 6310231267226112, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (56170417) 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, 91326 + ... + 91938.

Almost surely, 256170416 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 56170416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76745088).

56170416 is an abundant number, since it is smaller than the sum of its proper divisors (97319760).

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

56170416 is a wasteful number, since it uses less digits than its factorization.

56170416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 56170416 is about 7494.6925220452. The cubic root of 56170416 is about 382.9739317404.

The spelling of 56170416 in words is "fifty-six million, one hundred seventy thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 83 92 138 166 184 249 276 332 368 498 552 613 664 996 1104 1226 1328 1839 1909 1992 2452 3678 3818 3984 4904 5727 7356 7636 9808 11454 14099 14712 15272 22908 28198 29424 30544 42297 45816 50879 56396 84594 91632 101758 112792 152637 169188 203516 225584 305274 338376 407032 610548 676752 814064 1170217 1221096 2340434 2442192 3510651 4680868 7021302 9361736 14042604 18723472 28085208 56170416