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53218872 = 23327234591
BaseRepresentation
bin1100101100000…
…0111000111000
310201010210120100
43023000320320
5102111000442
65140355400
71214232030
oct313007070
9121123510
1053218872
112804a143
12159a5b60
13b044575
1470d48c0
154a1384c
hex32c0e38

53218872 has 96 divisors (see below), whose sum is σ = 171924480. Its totient is φ = 14541120.

The previous prime is 53218859. The next prime is 53218889. The reversal of 53218872 is 27881235.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9297 + ... + 13887.

It is an arithmetic number, because the mean of its divisors is an integer number (1790880).

Almost surely, 253218872 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 53218872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85962240).

53218872 is an abundant number, since it is smaller than the sum of its proper divisors (118705608).

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

53218872 is a wasteful number, since it uses less digits than its factorization.

53218872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4633 (or 4626 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 53218872 is about 7295.1265924588. The cubic root of 53218872 is about 376.1449380871.

The spelling of 53218872 in words is "fifty-three million, two hundred eighteen thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 23 24 28 36 42 46 56 63 69 72 84 92 126 138 161 168 184 207 252 276 322 414 483 504 552 644 828 966 1288 1449 1656 1932 2898 3864 4591 5796 9182 11592 13773 18364 27546 32137 36728 41319 55092 64274 82638 96411 105593 110184 128548 165276 192822 211186 257096 289233 316779 330552 385644 422372 578466 633558 739151 771288 844744 950337 1156932 1267116 1478302 1900674 2217453 2313864 2534232 2956604 3801348 4434906 5913208 6652359 7602696 8869812 13304718 17739624 26609436 53218872