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54856536 = 2337347941
BaseRepresentation
bin1101000101000…
…0101101011000
310211020000000120
43101100231120
5103020402121
65235433240
71234162410
oct321205530
9124200016
1054856536
1128a68589
1216455820
13b498ab7
1473dd640
154c38bc6
hex3450b58

54856536 has 64 divisors (see below), whose sum is σ = 157351680. Its totient is φ = 15611520.

The previous prime is 54856531. The next prime is 54856547. The reversal of 54856536 is 63565845.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54856531) 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, 57826 + ... + 58766.

It is an arithmetic number, because the mean of its divisors is an integer number (2458620).

Almost surely, 254856536 is an apocalyptic number.

54856536 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 54856536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78675840).

54856536 is an abundant number, since it is smaller than the sum of its proper divisors (102495144).

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

54856536 is a wasteful number, since it uses less digits than its factorization.

54856536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1304 (or 1300 counting only the distinct ones).

The product of its digits is 432000, while the sum is 42.

The square root of 54856536 is about 7406.5198305277. The cubic root of 54856536 is about 379.9642995085.

It can be divided in two parts, 5485 and 6536, that added together give a palindrome (12021).

The spelling of 54856536 in words is "fifty-four million, eight hundred fifty-six thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 347 694 941 1041 1388 1882 2082 2429 2776 2823 3764 4164 4858 5646 6587 7287 7528 8328 9716 11292 13174 14574 19432 19761 22584 26348 29148 39522 52696 58296 79044 158088 326527 653054 979581 1306108 1959162 2285689 2612216 3918324 4571378 6857067 7836648 9142756 13714134 18285512 27428268 54856536