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5434128 = 24347599
BaseRepresentation
bin10100101110101100010000
3101020002020000
4110232230100
52342343003
6312250000
764121640
oct24565420
911202200
105434128
113081817
1219a0900
13118357b
14a16520
157251a3
hex52eb10

5434128 has 100 divisors (see below), whose sum is σ = 18004800. Its totient is φ = 1550016.

The previous prime is 5434123. The next prime is 5434129. The reversal of 5434128 is 8214345.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (5434123) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8773 + ... + 9371.

It is an arithmetic number, because the mean of its divisors is an integer number (180048).

Almost surely, 25434128 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 5434128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9002400).

5434128 is an abundant number, since it is smaller than the sum of its proper divisors (12570672).

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

5434128 is a wasteful number, since it uses less digits than its factorization.

5434128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 611 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 5434128 is about 2331.1216184489. The cubic root of 5434128 is about 175.8098842420.

The spelling of 5434128 in words is "five million, four hundred thirty-four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 252 324 336 378 432 504 567 599 648 756 1008 1134 1198 1296 1512 1797 2268 2396 3024 3594 4193 4536 4792 5391 7188 8386 9072 9584 10782 12579 14376 16173 16772 21564 25158 28752 32346 33544 37737 43128 48519 50316 64692 67088 75474 86256 97038 100632 113211 129384 150948 194076 201264 226422 258768 301896 339633 388152 452844 603792 679266 776304 905688 1358532 1811376 2717064 5434128