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53357472 = 25327219199
BaseRepresentation
bin1100101110001…
…0101110100000
310201101211200200
43023202232200
5102124414342
65143345200
71215350100
oct313425640
9121354620
1053357472
1128134293
1215a52200
13b09268c
14712d200
154a3e94c
hex32e2ba0

53357472 has 216 divisors, whose sum is σ = 186732000. Its totient is φ = 14370048.

The previous prime is 53357471. The next prime is 53357483. The reversal of 53357472 is 27475335.

53357472 is a `hidden beast` number, since 533 + 57 + 4 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (53357471) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 268029 + ... + 268227.

It is an arithmetic number, because the mean of its divisors is an integer number (864500).

Almost surely, 253357472 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 53357472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93366000).

53357472 is an abundant number, since it is smaller than the sum of its proper divisors (133374528).

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

53357472 is a wasteful number, since it uses less digits than its factorization.

53357472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 230 counting only the distinct ones).

The product of its digits is 88200, while the sum is 36.

The square root of 53357472 is about 7304.6199079760. The cubic root of 53357472 is about 376.4711913746.

The spelling of 53357472 in words is "fifty-three million, three hundred fifty-seven thousand, four hundred seventy-two".