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57554420 = 225721119281
BaseRepresentation
bin1101101110001…
…1010111110100
311000022001211012
43123203113310
5104213220140
65413331352
71266130100
oct333432764
9130261735
1057554420
112a540540
1217336b58
13bc01a91
147902900
1550bd265
hex36e35f4

57554420 has 144 divisors (see below), whose sum is σ = 162025920. Its totient is φ = 16934400.

The previous prime is 57554417. The next prime is 57554429. The reversal of 57554420 is 2445575.

It is a super-2 number, since 2×575544202 = 6625022523072800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57554429) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 204680 + ... + 204960.

It is an arithmetic number, because the mean of its divisors is an integer number (1125180).

Almost surely, 257554420 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 57554420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81012960).

57554420 is an abundant number, since it is smaller than the sum of its proper divisors (104471500).

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

57554420 is a wasteful number, since it uses less digits than its factorization.

57554420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 28000, while the sum is 32.

The square root of 57554420 is about 7586.4629439548. The cubic root of 57554420 is about 386.0938588906.

Adding to 57554420 its reverse (2445575), we get a palindrome (59999995).

The spelling of 57554420 in words is "fifty-seven million, five hundred fifty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 19 20 22 28 35 38 44 49 55 70 76 77 95 98 110 133 140 154 190 196 209 220 245 266 281 308 380 385 418 490 532 539 562 665 770 836 931 980 1045 1078 1124 1330 1405 1463 1540 1862 1967 2090 2156 2660 2695 2810 2926 3091 3724 3934 4180 4655 5339 5390 5620 5852 6182 7315 7868 9310 9835 10241 10678 10780 12364 13769 14630 15455 18620 19670 20482 21356 21637 26695 27538 29260 30910 37373 39340 40964 43274 51205 53390 55076 58729 61820 68845 74746 86548 102410 106780 108185 117458 137690 149492 151459 186865 204820 216370 234916 261611 275380 293645 302918 373730 411103 432740 523222 587290 605836 747460 757295 822206 1046444 1174580 1308055 1514590 1644412 2055515 2616110 2877721 3029180 4111030 5232220 5755442 8222060 11510884 14388605 28777210 57554420