Search a number
-
+
5257400 = 235297271
BaseRepresentation
bin10100000011100010111000
3100220002210112
4110003202320
52321214100
6304403452
762454461
oct24034270
910802715
105257400
112a70a65
121916588
131120cb5
149abd68
156dcb35
hex5038b8

5257400 has 48 divisors (see below), whose sum is σ = 12395040. Its totient is φ = 2073600.

The previous prime is 5257393. The next prime is 5257451. The reversal of 5257400 is 47525.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19265 + ... + 19535.

It is an arithmetic number, because the mean of its divisors is an integer number (258230).

Almost surely, 25257400 is an apocalyptic number.

5257400 is a gapful number since it is divisible by the number (50) 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 5257400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6197520).

5257400 is an abundant number, since it is smaller than the sum of its proper divisors (7137640).

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

5257400 is a wasteful number, since it uses less digits than its factorization.

5257400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 23.

The square root of 5257400 is about 2292.9020912372. The cubic root of 5257400 is about 173.8829529462.

The spelling of 5257400 in words is "five million, two hundred fifty-seven thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 97 100 194 200 271 388 485 542 776 970 1084 1355 1940 2168 2425 2710 3880 4850 5420 6775 9700 10840 13550 19400 26287 27100 52574 54200 105148 131435 210296 262870 525740 657175 1051480 1314350 2628700 5257400