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53357400 = 23335241241
BaseRepresentation
bin1100101110001…
…0101101011000
310201101211121000
43023202231120
5102124414100
65143345000
71215346635
oct313425530
9121354530
1053357400
1128134228
1215a52160
13b092635
14712d18c
154a3e900
hex32e2b58

53357400 has 192 divisors, whose sum is σ = 189050400. Its totient is φ = 13824000.

The previous prime is 53357389. The next prime is 53357413. The reversal of 53357400 is 475335.

It is a happy number.

53357400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 221280 + ... + 221520.

Almost surely, 253357400 is an apocalyptic number.

53357400 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 53357400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94525200).

53357400 is an abundant number, since it is smaller than the sum of its proper divisors (135693000).

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

53357400 is a wasteful number, since it uses less digits than its factorization.

53357400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 27.

The square root of 53357400 is about 7304.6149795865. The cubic root of 53357400 is about 376.4710220392.

The spelling of 53357400 in words is "fifty-three million, three hundred fifty-seven thousand, four hundred".