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5578040 = 2351317631
BaseRepresentation
bin10101010001110100111000
3101111101122002
4111101310320
52411444130
6315320132
765261336
oct25216470
911441562
105578040
11316a956
121a50048
131203c20
14a52b56
15752b45
hex551d38

5578040 has 64 divisors (see below), whose sum is σ = 14333760. Its totient is φ = 1935360.

The previous prime is 5578031. The next prime is 5578043. The reversal of 5578040 is 408755.

It is a super-2 number, since 2×55780402 = 62229060483200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (29) 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 = 5577994 and 5578012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5578043) 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 15 ways as a sum of consecutive naturals, for example, 8525 + ... + 9155.

It is an arithmetic number, because the mean of its divisors is an integer number (223965).

Almost surely, 25578040 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 5578040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7166880).

5578040 is an abundant number, since it is smaller than the sum of its proper divisors (8755720).

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

5578040 is a wasteful number, since it uses less digits than its factorization.

5578040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 29.

The square root of 5578040 is about 2361.7874586846. The cubic root of 5578040 is about 177.3483727925.

The spelling of 5578040 in words is "five million, five hundred seventy-eight thousand, forty".

Divisors: 1 2 4 5 8 10 13 17 20 26 34 40 52 65 68 85 104 130 136 170 221 260 340 442 520 631 680 884 1105 1262 1768 2210 2524 3155 4420 5048 6310 8203 8840 10727 12620 16406 21454 25240 32812 41015 42908 53635 65624 82030 85816 107270 139451 164060 214540 278902 328120 429080 557804 697255 1115608 1394510 2789020 5578040