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5434856 = 237374361
BaseRepresentation
bin10100101110110111101000
3101020010012222
4110232313220
52342403411
6312253212
764124030
oct24566750
911203188
105434856
113082319
1219a1208
1311839bb
14a168c0
157254db
hex52ede8

5434856 has 64 divisors (see below), whose sum is σ = 12439680. Its totient is φ = 2177280.

The previous prime is 5434841. The next prime is 5434859. The reversal of 5434856 is 6584345.

Its product of digits (57600) is a multiple of the sum of its prime divisors (150).

It is not an unprimeable number, because it can be changed into a prime (5434859) 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, 89066 + ... + 89126.

It is an arithmetic number, because the mean of its divisors is an integer number (194370).

Almost surely, 25434856 is an apocalyptic number.

5434856 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5434856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6219840).

5434856 is an abundant number, since it is smaller than the sum of its proper divisors (7004824).

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

5434856 is a wasteful number, since it uses less digits than its factorization.

5434856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 150 counting only the distinct ones).

The product of its digits is 57600, while the sum is 35.

The square root of 5434856 is about 2331.2777612288. The cubic root of 5434856 is about 175.8177348656.

The spelling of 5434856 in words is "five million, four hundred thirty-four thousand, eight hundred fifty-six".

Divisors: 1 2 4 7 8 14 28 37 43 56 61 74 86 122 148 172 244 259 296 301 344 427 488 518 602 854 1036 1204 1591 1708 2072 2257 2408 2623 3182 3416 4514 5246 6364 9028 10492 11137 12728 15799 18056 18361 20984 22274 31598 36722 44548 63196 73444 89096 97051 126392 146888 194102 388204 679357 776408 1358714 2717428 5434856