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52056432 = 24364463
BaseRepresentation
bin1100011010010…
…1000101110000
310121221202000000
43012211011300
5101311301212
65055430000
71201321011
oct306450560
9117852000
1052056432
112742584a
1215525300
13aa2842c
146cb1008
1548841dc
hex31a5170

52056432 has 70 divisors (see below), whose sum is σ = 151253712. Its totient is φ = 17348256.

The previous prime is 52056427. The next prime is 52056437. The reversal of 52056432 is 23465025.

It is an interprime number because it is at equal distance from previous prime (52056427) and next prime (52056437).

It is a super-2 number, since 2×520564322 = 5419744225141248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 52056396 and 52056405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52056437) 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 13 ways as a sum of consecutive naturals, for example, 9433 + ... + 13895.

Almost surely, 252056432 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 52056432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75626856).

52056432 is an abundant number, since it is smaller than the sum of its proper divisors (99197280).

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

52056432 is an equidigital number, since it uses as much as digits as its factorization.

52056432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4489 (or 4468 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 52056432 is about 7215.0143451001. The cubic root of 52056432 is about 373.3860880666.

The spelling of 52056432 in words is "fifty-two million, fifty-six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1458 1944 2916 3888 4463 5832 8926 11664 13389 17852 26778 35704 40167 53556 71408 80334 107112 120501 160668 214224 241002 321336 361503 482004 642672 723006 964008 1084509 1446012 1928016 2169018 2892024 3253527 4338036 5784048 6507054 8676072 13014108 17352144 26028216 52056432