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53226348 = 22372131691
BaseRepresentation
bin1100101100001…
…0101101101100
310201011011211020
43023002231230
5102111220343
65140454140
71214262600
oct313025554
9121134736
1053226348
112805481a
12159aa350
13b047aa6
1470d7500
154a15b83
hex32c2b6c

53226348 has 72 divisors (see below), whose sum is σ = 145785024. Its totient is φ = 15069600.

The previous prime is 53226317. The next prime is 53226359. The reversal of 53226348 is 84362235.

It is a happy number.

53226348 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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 23 ways as a sum of consecutive naturals, for example, 76683 + ... + 77373.

It is an arithmetic number, because the mean of its divisors is an integer number (2024792).

Almost surely, 253226348 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 53226348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72892512).

53226348 is an abundant number, since it is smaller than the sum of its proper divisors (92558676).

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

53226348 is a wasteful number, since it uses less digits than its factorization.

53226348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843 (or 834 counting only the distinct ones).

The product of its digits is 34560, while the sum is 33.

The square root of 53226348 is about 7295.6389713307. The cubic root of 53226348 is about 376.1625504352.

The spelling of 53226348 in words is "fifty-three million, two hundred twenty-six thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 131 147 196 262 294 393 524 588 691 786 917 1382 1572 1834 2073 2751 2764 3668 4146 4837 5502 6419 8292 9674 11004 12838 14511 19257 19348 25676 29022 33859 38514 58044 67718 77028 90521 101577 135436 181042 203154 271563 362084 406308 543126 633647 1086252 1267294 1900941 2534588 3801882 4435529 7603764 8871058 13306587 17742116 26613174 53226348