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56818240 = 265277641
BaseRepresentation
bin1101100010111…
…1101001000000
310221220122222021
43120233221000
5104021140430
65345451224
71256642563
oct330575100
9127818867
1056818240
112a088426
1217040b14
13ba0497b
1477904da
154ec507a
hex362fa40

56818240 has 56 divisors (see below), whose sum is σ = 135998712. Its totient is φ = 22609920.

The previous prime is 56818219. The next prime is 56818241. The reversal of 56818240 is 4281865.

It can be written as a sum of positive squares in 4 ways, for example, as 7706176 + 49112064 = 2776^2 + 7008^2 .

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 56818196 and 56818205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56818241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88320 + ... + 88960.

Almost surely, 256818240 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 56818240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67999356).

56818240 is an abundant number, since it is smaller than the sum of its proper divisors (79180472).

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

56818240 is a wasteful number, since it uses less digits than its factorization.

56818240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 935 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The square root of 56818240 is about 7537.7874737883. The cubic root of 56818240 is about 384.4406111366.

Subtracting from 56818240 its reverse (4281865), we obtain a triangular number (52536375 = T10250).

The spelling of 56818240 in words is "fifty-six million, eight hundred eighteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 277 320 554 641 1108 1282 1385 2216 2564 2770 3205 4432 5128 5540 6410 8864 10256 11080 12820 17728 20512 22160 25640 41024 44320 51280 88640 102560 177557 205120 355114 710228 887785 1420456 1775570 2840912 3551140 5681824 7102280 11363648 14204560 28409120 56818240