Search a number
-
+
53046528 = 283172239
BaseRepresentation
bin1100101001011…
…0110100000000
310200211001011020
43022112310000
5102034442103
65132545440
71212613413
oct312266400
9120731136
1053046528
1127a41707
1215922280
13acb3ca2
14708bb7a
1549cc753
hex3296d00

53046528 has 108 divisors (see below), whose sum is σ = 150601920. Its totient is φ = 16572416.

The previous prime is 53046527. The next prime is 53046541. The reversal of 53046528 is 82564035.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53046527) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 221833 + ... + 222071.

Almost surely, 253046528 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 53046528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75300960).

53046528 is an abundant number, since it is smaller than the sum of its proper divisors (97555392).

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

53046528 is a wasteful number, since it uses less digits than its factorization.

53046528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 53046528 is about 7283.3047444138. The cubic root of 53046528 is about 375.7384630605.

The spelling of 53046528 in words is "fifty-three million, forty-six thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 239 256 272 289 384 408 478 544 578 717 768 816 867 956 1088 1156 1434 1632 1734 1912 2176 2312 2868 3264 3468 3824 4063 4352 4624 5736 6528 6936 7648 8126 9248 11472 12189 13056 13872 15296 16252 18496 22944 24378 27744 30592 32504 36992 45888 48756 55488 61184 65008 69071 73984 91776 97512 110976 130016 138142 183552 195024 207213 221952 260032 276284 390048 414426 520064 552568 780096 828852 1040128 1105136 1560192 1657704 2210272 3120384 3315408 4420544 6630816 8841088 13261632 17682176 26523264 53046528