Search a number
-
+
5057424 = 243323509
BaseRepresentation
bin10011010010101110010000
3100111221111000
4103102232100
52243314144
6300222000
760662451
oct23225620
910457430
105057424
112944799
12183a900
131080c78
14959128
1569d769
hex4d2b90

5057424 has 80 divisors (see below), whose sum is σ = 15177600. Its totient is φ = 1609344.

The previous prime is 5057413. The next prime is 5057453. The reversal of 5057424 is 4247505.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9682 + ... + 10190.

It is an arithmetic number, because the mean of its divisors is an integer number (189720).

Almost surely, 25057424 is an apocalyptic number.

5057424 is a gapful number since it is divisible by the number (54) 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 5057424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7588800).

5057424 is an abundant number, since it is smaller than the sum of its proper divisors (10120176).

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

5057424 is a wasteful number, since it uses less digits than its factorization.

5057424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 5057424 is about 2248.8717171062. The cubic root of 5057424 is about 171.6497288512.

The spelling of 5057424 in words is "five million, fifty-seven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 92 108 138 144 184 207 216 276 368 414 432 509 552 621 828 1018 1104 1242 1527 1656 2036 2484 3054 3312 4072 4581 4968 6108 8144 9162 9936 11707 12216 13743 18324 23414 24432 27486 35121 36648 46828 54972 70242 73296 93656 105363 109944 140484 187312 210726 219888 280968 316089 421452 561936 632178 842904 1264356 1685808 2528712 5057424