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53413000 = 2353311723
BaseRepresentation
bin1100101111000…
…0010010001000
310201111122212021
43023300102020
5102133204000
65144454224
71216001014
oct313602210
9121448767
1053413000
1128171a83
1215a7a374
13b0b1a34
147145544
154a5111a
hex32f0488

53413000 has 64 divisors (see below), whose sum is σ = 129093120. Its totient is φ = 20664000.

The previous prime is 53412991. The next prime is 53413001. The reversal of 53413000 is 31435.

It is not an unprimeable number, because it can be changed into a prime (53413001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30139 + ... + 31861.

It is an arithmetic number, because the mean of its divisors is an integer number (2017080).

Almost surely, 253413000 is an apocalyptic number.

53413000 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 53413000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64546560).

53413000 is an abundant number, since it is smaller than the sum of its proper divisors (75680120).

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

53413000 is a wasteful number, since it uses less digits than its factorization.

53413000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1775 (or 1761 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 53413000 is about 7308.4198018450. The cubic root of 53413000 is about 376.6017413178.

Adding to 53413000 its reverse (31435), we get a palindrome (53444435).

The spelling of 53413000 in words is "fifty-three million, four hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 125 155 200 248 250 310 500 620 775 1000 1240 1550 1723 3100 3446 3875 6200 6892 7750 8615 13784 15500 17230 31000 34460 43075 53413 68920 86150 106826 172300 213652 215375 267065 344600 427304 430750 534130 861500 1068260 1335325 1723000 2136520 2670650 5341300 6676625 10682600 13353250 26706500 53413000