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5291424 = 253219967
BaseRepresentation
bin10100001011110110100000
3100221211110200
4110023312200
52323311144
6305225200
762655615
oct24136640
910854420
105291424
112a94586
121932200
131133628
149ba50c
156e7c69
hex50bda0

5291424 has 72 divisors (see below), whose sum is σ = 15855840. Its totient is φ = 1669248.

The previous prime is 5291423. The next prime is 5291431. The reversal of 5291424 is 4241925.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (5291423) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4989 + ... + 5955.

It is an arithmetic number, because the mean of its divisors is an integer number (220220).

Almost surely, 25291424 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 5291424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7927920).

5291424 is an abundant number, since it is smaller than the sum of its proper divisors (10564416).

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

5291424 is a wasteful number, since it uses less digits than its factorization.

5291424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002 (or 991 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 5291424 is about 2300.3095443875. The cubic root of 5291424 is about 174.2572492896.

It can be divided in two parts, 529 and 1424, that added together give a triangular number (1953 = T62).

The spelling of 5291424 in words is "five million, two hundred ninety-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 912 967 1368 1824 1934 2736 2901 3868 5472 5802 7736 8703 11604 15472 17406 18373 23208 30944 34812 36746 46416 55119 69624 73492 92832 110238 139248 146984 165357 220476 278496 293968 330714 440952 587936 661428 881904 1322856 1763808 2645712 5291424