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53042528 = 25711219103
BaseRepresentation
bin1100101001010…
…1110101100000
310200210211200002
43022111311200
5102034330103
65132515132
71212565640
oct312256540
9120724602
1053042528
1127a39700
121591baa8
13acb2216
14708a520
1549cb488
hex3295d60

53042528 has 144 divisors (see below), whose sum is σ = 139426560. Its totient is φ = 19388160.

The previous prime is 53042527. The next prime is 53042543. The reversal of 53042528 is 82524035.

It is a self number, because there is not a number n which added to its sum of digits gives 53042528.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53042527) 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, 514925 + ... + 515027.

It is an arithmetic number, because the mean of its divisors is an integer number (968240).

Almost surely, 253042528 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 53042528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69713280).

53042528 is an abundant number, since it is smaller than the sum of its proper divisors (86384032).

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

53042528 is a wasteful number, since it uses less digits than its factorization.

53042528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

The square root of 53042528 is about 7283.0301386168. The cubic root of 53042528 is about 375.7290185741.

The spelling of 53042528 in words is "fifty-three million, forty-two thousand, five hundred twenty-eight".

Divisors: 1 2 4 7 8 11 14 16 19 22 28 32 38 44 56 76 77 88 103 112 121 133 152 154 176 206 209 224 242 266 304 308 352 412 418 484 532 608 616 721 824 836 847 968 1064 1133 1232 1442 1463 1648 1672 1694 1936 1957 2128 2266 2299 2464 2884 2926 3296 3344 3388 3872 3914 4256 4532 4598 5768 5852 6688 6776 7828 7931 9064 9196 11536 11704 12463 13552 13699 15656 15862 16093 18128 18392 21527 23072 23408 24926 27104 27398 31312 31724 32186 36256 36784 43054 46816 49852 54796 62624 63448 64372 73568 86108 87241 99704 109592 126896 128744 150689 172216 174482 199408 219184 236797 253792 257488 301378 344432 348964 398816 438368 473594 514976 602756 688864 697928 947188 1205512 1395856 1657579 1894376 2411024 2791712 3315158 3788752 4822048 6630316 7577504 13260632 26521264 53042528