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52123456 = 2672111511
BaseRepresentation
bin1100011011010…
…1011101000000
310122002010221101
43012311131000
5101320422311
65101104144
71202020300
oct306653500
9118063841
1052123456
1127471140
1215558054
13aa4caa8
146ccb600
154898ec1
hex31b5740

52123456 has 84 divisors (see below), whose sum is σ = 131344416. Its totient is φ = 20294400.

The previous prime is 52123447. The next prime is 52123457. The reversal of 52123456 is 65432125.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52123457) 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, 33741 + ... + 35251.

It is an arithmetic number, because the mean of its divisors is an integer number (1563624).

Almost surely, 252123456 is an apocalyptic number.

52123456 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 52123456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65672208).

52123456 is an abundant number, since it is smaller than the sum of its proper divisors (79220960).

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

52123456 is a wasteful number, since it uses less digits than its factorization.

52123456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1548 (or 1531 counting only the distinct ones).

The product of its digits is 7200, while the sum is 28.

The square root of 52123456 is about 7219.6576096100. The cubic root of 52123456 is about 373.5462674169.

It can be divided in two parts, 5212 and 3456, that added together give a palindrome (8668).

The spelling of 52123456 in words is "fifty-two million, one hundred twenty-three thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 64 77 88 98 112 154 176 196 224 308 352 392 448 539 616 704 784 1078 1232 1511 1568 2156 2464 3022 3136 4312 4928 6044 8624 10577 12088 16621 17248 21154 24176 33242 34496 42308 48352 66484 74039 84616 96704 116347 132968 148078 169232 232694 265936 296156 338464 465388 531872 592312 676928 814429 930776 1063744 1184624 1628858 1861552 2369248 3257716 3723104 4738496 6515432 7446208 13030864 26061728 52123456