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54564440 = 235734197
BaseRepresentation
bin1101000000100…
…1011001011000
310210200011100012
43100021121120
5102432030230
65225301052
71231535000
oct320113130
9123604305
1054564440
1128889087
1216334788
13b3c5b68
147365000
154bcc395
hex3409658

54564440 has 128 divisors (see below), whose sum is σ = 148176000. Its totient is φ = 18063360.

The previous prime is 54564383. The next prime is 54564467. The reversal of 54564440 is 4446545.

It is a super-2 number, since 2×545644402 = 5954556225027200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 54564397 and 54564406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 562472 + ... + 562568.

It is an arithmetic number, because the mean of its divisors is an integer number (1157625).

Almost surely, 254564440 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 54564440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74088000).

54564440 is an abundant number, since it is smaller than the sum of its proper divisors (93611560).

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

54564440 is a wasteful number, since it uses less digits than its factorization.

54564440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 32.

The square root of 54564440 is about 7386.7746682839. The cubic root of 54564440 is about 379.2886970794.

The spelling of 54564440 in words is "fifty-four million, five hundred sixty-four thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 41 49 56 70 82 97 98 140 164 194 196 205 245 280 287 328 343 388 392 410 485 490 574 679 686 776 820 970 980 1148 1358 1372 1435 1640 1715 1940 1960 2009 2296 2716 2744 2870 3395 3430 3880 3977 4018 4753 5432 5740 6790 6860 7954 8036 9506 10045 11480 13580 13720 14063 15908 16072 19012 19885 20090 23765 27160 27839 28126 31816 33271 38024 39770 40180 47530 55678 56252 66542 70315 79540 80360 95060 111356 112504 133084 139195 140630 159080 166355 190120 194873 222712 266168 278390 281260 332710 389746 556780 562520 665420 779492 974365 1113560 1330840 1364111 1558984 1948730 2728222 3897460 5456444 6820555 7794920 10912888 13641110 27282220 54564440