Search a number
-
+
54974448 = 24321971283
BaseRepresentation
bin1101000110110…
…1011111110000
310211102222202200
43101231133300
5103033140243
65242143200
71235163234
oct321553760
9124388680
1054974448
1129039131
12164b1b00
13b50a679
1474305c4
154c5dad3
hex346d7f0

54974448 has 120 divisors (see below), whose sum is σ = 164810880. Its totient is φ = 17055360.

The previous prime is 54974417. The next prime is 54974449. The reversal of 54974448 is 84447945.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54974449) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 194115 + ... + 194397.

It is an arithmetic number, because the mean of its divisors is an integer number (1373424).

Almost surely, 254974448 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 54974448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82405440).

54974448 is an abundant number, since it is smaller than the sum of its proper divisors (109836432).

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

54974448 is a wasteful number, since it uses less digits than its factorization.

54974448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 378 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 54974448 is about 7414.4755714750. The cubic root of 54974448 is about 380.2363442013.

The spelling of 54974448 in words is "fifty-four million, nine hundred seventy-four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 71 72 76 114 142 144 152 171 213 228 283 284 304 342 426 456 566 568 639 684 849 852 912 1132 1136 1278 1349 1368 1698 1704 2264 2547 2556 2698 2736 3396 3408 4047 4528 5094 5112 5377 5396 6792 8094 10188 10224 10754 10792 12141 13584 16131 16188 20093 20376 21508 21584 24282 32262 32376 40186 40752 43016 48393 48564 60279 64524 64752 80372 86032 96786 97128 120558 129048 160744 180837 193572 194256 241116 258096 321488 361674 381767 387144 482232 723348 763534 774288 964464 1145301 1446696 1527068 2290602 2893392 3054136 3435903 4581204 6108272 6871806 9162408 13743612 18324816 27487224 54974448