Search a number
-
+
54097752 = 23347199241
BaseRepresentation
bin1100111001011…
…1011101011000
310202210110011110
43032113131120
5102322112002
65211300320
71224552252
oct316273530
9122713143
1054097752
112859a495
121614a6a0
13b291607
147282cd2
154b38e6c
hex3397758

54097752 has 64 divisors (see below), whose sum is σ = 139392000. Its totient is φ = 17487360.

The previous prime is 54097751. The next prime is 54097777. The reversal of 54097752 is 25779045.

It is a self number, because there is not a number n which added to its sum of digits gives 54097752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54097751) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 224352 + ... + 224592.

It is an arithmetic number, because the mean of its divisors is an integer number (2178000).

Almost surely, 254097752 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 54097752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69696000).

54097752 is an abundant number, since it is smaller than the sum of its proper divisors (85294248).

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

54097752 is a wasteful number, since it uses less digits than its factorization.

54097752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 39.

The square root of 54097752 is about 7355.1174021901. The cubic root of 54097752 is about 378.2042511936.

The spelling of 54097752 in words is "fifty-four million, ninety-seven thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 47 94 141 188 199 241 282 376 398 482 564 597 723 796 964 1128 1194 1446 1592 1928 2388 2892 4776 5784 9353 11327 18706 22654 28059 33981 37412 45308 47959 56118 67962 74824 90616 95918 112236 135924 143877 191836 224472 271848 287754 383672 575508 1151016 2254073 4508146 6762219 9016292 13524438 18032584 27048876 54097752