Search a number
-
+
52455400 = 2352416397
BaseRepresentation
bin1100100000011…
…0011111101000
310122201000021121
43020012133220
5101412033100
65112145024
71204602124
oct310063750
9118630247
1052455400
1127678578
1215698174
13ab37bca
146d76584
15491251a
hex32067e8

52455400 has 48 divisors (see below), whose sum is σ = 124952940. Its totient is φ = 20467200.

The previous prime is 52455397. The next prime is 52455401. The reversal of 52455400 is 455425.

It can be written as a sum of positive squares in 6 ways, for example, as 8836 + 52446564 = 94^2 + 7242^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (52455401) 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, 5002 + ... + 11398.

Almost surely, 252455400 is an apocalyptic number.

52455400 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 52455400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62476470).

52455400 is an abundant number, since it is smaller than the sum of its proper divisors (72497540).

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

52455400 is a wasteful number, since it uses less digits than its factorization.

52455400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6454 (or 6445 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 25.

The square root of 52455400 is about 7242.6100267790. The cubic root of 52455400 is about 374.3375563976.

Adding to 52455400 its sum of digits (25), we get a palindrome (52455425).

The spelling of 52455400 in words is "fifty-two million, four hundred fifty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 164 200 205 328 410 820 1025 1640 2050 4100 6397 8200 12794 25588 31985 51176 63970 127940 159925 255880 262277 319850 524554 639700 1049108 1279400 1311385 2098216 2622770 5245540 6556925 10491080 13113850 26227700 52455400