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52573136 = 24711139307
BaseRepresentation
bin1100100010001…
…1001111010000
310122220222210012
43020203033100
5101424320021
65114454052
71205602310
oct310431720
9118828705
1052573136
1127748a80
1215734328
13ab79685
146da7440
15493735b
hex32233d0

52573136 has 80 divisors (see below), whose sum is σ = 128325120. Its totient is φ = 20269440.

The previous prime is 52573123. The next prime is 52573141. The reversal of 52573136 is 63137525.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171095 + ... + 171401.

It is an arithmetic number, because the mean of its divisors is an integer number (1604064).

Almost surely, 252573136 is an apocalyptic number.

52573136 is a gapful number since it is divisible by the number (56) 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 52573136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64162560).

52573136 is an abundant number, since it is smaller than the sum of its proper divisors (75751984).

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

52573136 is a wasteful number, since it uses less digits than its factorization.

52573136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 466 counting only the distinct ones).

The product of its digits is 18900, while the sum is 32.

The square root of 52573136 is about 7250.7334801384. The cubic root of 52573136 is about 374.6174136584.

The spelling of 52573136 in words is "fifty-two million, five hundred seventy-three thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 139 154 176 278 307 308 556 614 616 973 1112 1228 1232 1529 1946 2149 2224 2456 3058 3377 3892 4298 4912 6116 6754 7784 8596 10703 12232 13508 15568 17192 21406 23639 24464 27016 34384 42673 42812 47278 54032 85346 85624 94556 170692 171248 189112 298711 341384 378224 469403 597422 682768 938806 1194844 1877612 2389688 3285821 3755224 4779376 6571642 7510448 13143284 26286568 52573136