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52793104 = 24713101359
BaseRepresentation
bin1100100101100…
…0111100010000
310200100011112011
43021120330100
5102003334404
65123312304
71210506520
oct311307420
9120304464
1052793104
1127889271
121581b694
13ac25830
147023680
15497c604
hex3258f10

52793104 has 80 divisors (see below), whose sum is σ = 127491840. Its totient is φ = 20620800.

The previous prime is 52793101. The next prime is 52793107. The reversal of 52793104 is 40139725.

It is an interprime number because it is at equal distance from previous prime (52793101) and next prime (52793107).

It is a super-2 number, since 2×527931042 = 5574223659909632, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (52793101) by changing a digit.

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, 146877 + ... + 147235.

It is an arithmetic number, because the mean of its divisors is an integer number (1593648).

Almost surely, 252793104 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 52793104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63745920).

52793104 is an abundant number, since it is smaller than the sum of its proper divisors (74698736).

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

52793104 is a wasteful number, since it uses less digits than its factorization.

52793104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 52793104 is about 7265.8863189566. The cubic root of 52793104 is about 375.1391578354.

The spelling of 52793104 in words is "fifty-two million, seven hundred ninety-three thousand, one hundred four".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 101 104 112 182 202 208 359 364 404 707 718 728 808 1313 1414 1436 1456 1616 2513 2626 2828 2872 4667 5026 5252 5656 5744 9191 9334 10052 10504 11312 18382 18668 20104 21008 32669 36259 36764 37336 40208 65338 72518 73528 74672 130676 145036 147056 253813 261352 290072 471367 507626 522704 580144 942734 1015252 1885468 2030504 3299569 3770936 4061008 6599138 7541872 13198276 26396552 52793104