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53726328 = 233529953
BaseRepresentation
bin1100110011110…
…0110001111000
310202002120200000
43030330301320
5102223220303
65155313000
71221444345
oct314746170
9122076600
1053726328
1128366427
1215bab760
13b191536
1471c77cc
154ab3da3
hex333cc78

53726328 has 96 divisors (see below), whose sum is σ = 156265200. Its totient is φ = 17273088.

The previous prime is 53726303. The next prime is 53726329. The reversal of 53726328 is 82362735.

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 junction number, because it is equal to n+sod(n) for n = 53726292 and 53726301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53726329) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55900 + ... + 56852.

Almost surely, 253726328 is an apocalyptic number.

53726328 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53726328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78132600).

53726328 is an abundant number, since it is smaller than the sum of its proper divisors (102538872).

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

53726328 is a wasteful number, since it uses less digits than its factorization.

53726328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1003 (or 987 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 53726328 is about 7329.8245545170. The cubic root of 53726328 is about 377.3367052464.

The spelling of 53726328 in words is "fifty-three million, seven hundred twenty-six thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 81 87 108 116 162 174 216 232 243 261 324 348 486 522 648 696 783 953 972 1044 1566 1906 1944 2088 2349 2859 3132 3812 4698 5718 6264 7047 7624 8577 9396 11436 14094 17154 18792 22872 25731 27637 28188 34308 51462 55274 56376 68616 77193 82911 102924 110548 154386 165822 205848 221096 231579 248733 308772 331644 463158 497466 617544 663288 746199 926316 994932 1492398 1852632 1989864 2238597 2984796 4477194 5969592 6715791 8954388 13431582 17908776 26863164 53726328