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53379872 = 2571323797
BaseRepresentation
bin1100101110100…
…0001100100000
310201102222102022
43023220030200
5102131123442
65144041012
71215502310
oct313501440
9121388368
1053379872
112814a0a7
1215a63168
13b09c930
147137440
154a463d2
hex32e8320

53379872 has 96 divisors (see below), whose sum is σ = 135136512. Its totient is φ = 20173824.

The previous prime is 53379871. The next prime is 53379883. The reversal of 53379872 is 27897335.

It is not an unprimeable number, because it can be changed into a prime (53379871) 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, 66578 + ... + 67374.

It is an arithmetic number, because the mean of its divisors is an integer number (1407672).

Almost surely, 253379872 is an apocalyptic number.

53379872 is a gapful number since it is divisible by the number (52) 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 53379872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67568256).

53379872 is an abundant number, since it is smaller than the sum of its proper divisors (81756640).

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

53379872 is a wasteful number, since it uses less digits than its factorization.

53379872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850 (or 842 counting only the distinct ones).

The product of its digits is 317520, while the sum is 44.

The square root of 53379872 is about 7306.1530233085. The cubic root of 53379872 is about 376.5238661271.

The spelling of 53379872 in words is "fifty-three million, three hundred seventy-nine thousand, eight hundred seventy-two".

Divisors: 1 2 4 7 8 13 14 16 23 26 28 32 46 52 56 91 92 104 112 161 182 184 208 224 299 322 364 368 416 598 644 728 736 797 1196 1288 1456 1594 2093 2392 2576 2912 3188 4186 4784 5152 5579 6376 8372 9568 10361 11158 12752 16744 18331 20722 22316 25504 33488 36662 41444 44632 66976 72527 73324 82888 89264 128317 145054 146648 165776 178528 238303 256634 290108 293296 331552 476606 513268 580216 586592 953212 1026536 1160432 1668121 1906424 2053072 2320864 3336242 3812848 4106144 6672484 7625696 13344968 26689936 53379872