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5077842 = 2371129379
BaseRepresentation
bin10011010111101101010010
3100112222111020
4103113231102
52244442332
6300500310
761106130
oct23275522
910488436
105077842
112959070
12184a696
13108a353
14962750
156a482c
hex4d7b52

5077842 has 64 divisors (see below), whose sum is σ = 13132800. Its totient is φ = 1270080.

The previous prime is 5077829. The next prime is 5077847. The reversal of 5077842 is 2487705.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (5077847) 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 31 ways as a sum of consecutive naturals, for example, 13209 + ... + 13587.

It is an arithmetic number, because the mean of its divisors is an integer number (205200).

Almost surely, 25077842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5077842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6566400).

5077842 is an abundant number, since it is smaller than the sum of its proper divisors (8054958).

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

5077842 is a wasteful number, since it uses less digits than its factorization.

5077842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431.

The product of its (nonzero) digits is 15680, while the sum is 33.

The square root of 5077842 is about 2253.4067542279. The cubic root of 5077842 is about 171.8804153445.

The spelling of 5077842 in words is "five million, seventy-seven thousand, eight hundred forty-two".

Divisors: 1 2 3 6 7 11 14 21 22 29 33 42 58 66 77 87 154 174 203 231 319 379 406 462 609 638 758 957 1137 1218 1914 2233 2274 2653 4169 4466 5306 6699 7959 8338 10991 12507 13398 15918 21982 25014 29183 32973 58366 65946 76937 87549 120901 153874 175098 230811 241802 362703 461622 725406 846307 1692614 2538921 5077842