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53078328 = 2334101811
BaseRepresentation
bin1100101001111…
…0100100111000
310200212122210000
43022132210320
5102042001303
65133353000
71213105212
oct312364470
9120778700
1053078328
1127a63596
1215938760
13acc55c4
1470995b2
1549d6da3
hex329e938

53078328 has 80 divisors (see below), whose sum is σ = 150325560. Its totient is φ = 17496000.

The previous prime is 53078317. The next prime is 53078329. The reversal of 53078328 is 82387035.

53078328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 53078292 and 53078301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53078329) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 65043 + ... + 65853.

Almost surely, 253078328 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 53078328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75162780).

53078328 is an abundant number, since it is smaller than the sum of its proper divisors (97247232).

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

53078328 is a wasteful number, since it uses less digits than its factorization.

53078328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 53078328 is about 7285.4874922684. The cubic root of 53078328 is about 375.8135298416.

The spelling of 53078328 in words is "fifty-three million, seventy-eight thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 101 108 162 202 216 303 324 404 606 648 808 811 909 1212 1622 1818 2424 2433 2727 3244 3636 4866 5454 6488 7272 7299 8181 9732 10908 14598 16362 19464 21816 21897 29196 32724 43794 58392 65448 65691 81911 87588 131382 163822 175176 245733 262764 327644 491466 525528 655288 737199 982932 1474398 1965864 2211597 2948796 4423194 5897592 6634791 8846388 13269582 17692776 26539164 53078328