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52219872 = 2532315849
BaseRepresentation
bin1100011100110…
…0111111100000
310122021001012100
43013030333200
5101332013442
65103130400
71202601345
oct307147740
9118231170
1052219872
1127527621
12155a3a00
13aa84943
146d147cc
1548b784c
hex31ccfe0

52219872 has 72 divisors (see below), whose sum is σ = 153316800. Its totient is φ = 16842240.

The previous prime is 52219859. The next prime is 52219883. The reversal of 52219872 is 27891225.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6004 + ... + 11852.

It is an arithmetic number, because the mean of its divisors is an integer number (2129400).

Almost surely, 252219872 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 52219872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76658400).

52219872 is an abundant number, since it is smaller than the sum of its proper divisors (101096928).

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

52219872 is a wasteful number, since it uses less digits than its factorization.

52219872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5896 (or 5885 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 52219872 is about 7226.3318495624. The cubic root of 52219872 is about 373.7764494729.

The spelling of 52219872 in words is "fifty-two million, two hundred nineteen thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 186 248 279 288 372 496 558 744 992 1116 1488 2232 2976 4464 5849 8928 11698 17547 23396 35094 46792 52641 70188 93584 105282 140376 181319 187168 210564 280752 362638 421128 543957 561504 725276 842256 1087914 1450552 1631871 1684512 2175828 2901104 3263742 4351656 5802208 6527484 8703312 13054968 17406624 26109936 52219872