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54087436 = 22132293189
BaseRepresentation
bin1100111001010…
…0111100001100
310202202221000101
43032110330030
5102321244221
65211140444
71224510214
oct316247414
9122687011
1054087436
1128592767
1216144724
13b289a00
14727d244
154b35d91
hex3394f0c

54087436 has 72 divisors (see below), whose sum is σ = 110678400. Its totient is φ = 23063040.

The previous prime is 54087409. The next prime is 54087443. The reversal of 54087436 is 63478045.

54087436 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

54087436 is a modest number, since divided by 7436 gives 5408 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 54087395 and 54087404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 607680 + ... + 607768.

It is an arithmetic number, because the mean of its divisors is an integer number (1537200).

Almost surely, 254087436 is an apocalyptic number.

It is an amenable number.

54087436 is an abundant number, since it is smaller than the sum of its proper divisors (56590964).

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

54087436 is a wasteful number, since it uses less digits than its factorization.

54087436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The square root of 54087436 is about 7354.4160883105. The cubic root of 54087436 is about 378.1802095102.

The spelling of 54087436 in words is "fifty-four million, eighty-seven thousand, four hundred thirty-six".

Divisors: 1 2 4 13 26 29 31 52 58 62 89 116 124 169 178 338 356 377 403 676 754 806 899 1157 1508 1612 1798 2314 2581 2759 3596 4628 4901 5162 5239 5518 9802 10324 10478 11036 11687 15041 19604 20956 23374 30082 33553 35867 46748 60164 67106 71734 80011 134212 143468 151931 160022 303862 320044 436189 466271 607724 872378 932542 1040143 1744756 1865084 2080286 4160572 13521859 27043718 54087436