Search a number
-
+
53939328 = 273197393
BaseRepresentation
bin1100110111000…
…0110010000000
310202111101211220
43031300302000
5102302024303
65204035040
71223322342
oct315606200
9122441756
1053939328
11284a1463
1216092a80
13b237481
147241292
154b07053
hex3370c80

53939328 has 64 divisors (see below), whose sum is σ = 150837600. Its totient is φ = 17031168.

The previous prime is 53939321. The next prime is 53939359. The reversal of 53939328 is 82393935.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×539393282 = 5818902210183168, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 53939328.

It is not an unprimeable number, because it can be changed into a prime (53939321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3600 + ... + 10992.

Almost surely, 253939328 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 53939328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75418800).

53939328 is an abundant number, since it is smaller than the sum of its proper divisors (96898272).

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

53939328 is a wasteful number, since it uses less digits than its factorization.

53939328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7429 (or 7417 counting only the distinct ones).

The product of its digits is 174960, while the sum is 42.

The square root of 53939328 is about 7344.3398614171. The cubic root of 53939328 is about 377.8347027893.

The spelling of 53939328 in words is "fifty-three million, nine hundred thirty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 304 384 456 608 912 1216 1824 2432 3648 7296 7393 14786 22179 29572 44358 59144 88716 118288 140467 177432 236576 280934 354864 421401 473152 561868 709728 842802 946304 1123736 1419456 1685604 2247472 2838912 3371208 4494944 6742416 8989888 13484832 17979776 26969664 53939328