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53122146 = 23711210453
BaseRepresentation
bin1100101010100…
…1010001100010
310200221212212220
43022221101202
5102044402041
65134331510
71213350030
oct312512142
9120855786
1053122146
1127a93500
1215959b96
13b00c52c
1470ab550
1549e4d66
hex32a9462

53122146 has 48 divisors (see below), whose sum is σ = 133476672. Its totient is φ = 13796640.

The previous prime is 53122141. The next prime is 53122151. The reversal of 53122146 is 64122135.

It is an interprime number because it is at equal distance from previous prime (53122141) and next prime (53122151).

It is not an unprimeable number, because it can be changed into a prime (53122141) by changing a digit.

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, 145 + ... + 10308.

It is an arithmetic number, because the mean of its divisors is an integer number (2780764).

Almost surely, 253122146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53122146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66738336).

53122146 is an abundant number, since it is smaller than the sum of its proper divisors (80354526).

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

53122146 is a wasteful number, since it uses less digits than its factorization.

53122146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10487 (or 10476 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 53122146 is about 7288.4940831423. The cubic root of 53122146 is about 375.9169170964.

The spelling of 53122146 in words is "fifty-three million, one hundred twenty-two thousand, one hundred forty-six".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 121 154 231 242 363 462 726 847 1694 2541 5082 10453 20906 31359 62718 73171 114983 146342 219513 229966 344949 439026 689898 804881 1264813 1609762 2414643 2529626 3794439 4829286 7588878 8853691 17707382 26561073 53122146