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54170072 = 231137127131
BaseRepresentation
bin1100111010100…
…1000111011000
310202221010100222
43032221013120
5102331420242
65213015212
71225303145
oct316510730
9122833328
1054170072
1128639860
1216184508
13b2b84c8
1472a13cc
154b505d2
hex33a91d8

54170072 has 64 divisors (see below), whose sum is σ = 115568640. Its totient is φ = 23587200.

The previous prime is 54170059. The next prime is 54170087. The reversal of 54170072 is 27007145.

54170072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 413447 + ... + 413577.

It is an arithmetic number, because the mean of its divisors is an integer number (1805760).

Almost surely, 254170072 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 54170072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57784320).

54170072 is an abundant number, since it is smaller than the sum of its proper divisors (61398568).

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

54170072 is a wasteful number, since it uses less digits than its factorization.

54170072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 26.

The square root of 54170072 is about 7360.0320651475. The cubic root of 54170072 is about 378.3727089156.

The spelling of 54170072 in words is "fifty-four million, one hundred seventy thousand, seventy-two".

Divisors: 1 2 4 8 11 22 37 44 74 88 127 131 148 254 262 296 407 508 524 814 1016 1048 1397 1441 1628 2794 2882 3256 4699 4847 5588 5764 9398 9694 11176 11528 16637 18796 19388 33274 37592 38776 51689 53317 66548 103378 106634 133096 183007 206756 213268 366014 413512 426536 615569 732028 1231138 1464056 2462276 4924552 6771259 13542518 27085036 54170072