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55540296 = 23337109337
BaseRepresentation
bin1101001111011…
…1101001001000
310212111201222000
43103313221020
5103204242141
65302231000
71243041030
oct323675110
9125451860
1055540296
1129395279
1216725460
13b6780a6
14753a8c0
154d215b6
hex34f7a48

55540296 has 128 divisors (see below), whose sum is σ = 178464000. Its totient is φ = 15676416.

The previous prime is 55540283. The next prime is 55540297. The reversal of 55540296 is 69204555.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 55540296.

It is not an unprimeable number, because it can be changed into a prime (55540297) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164640 + ... + 164976.

It is an arithmetic number, because the mean of its divisors is an integer number (1394250).

Almost surely, 255540296 is an apocalyptic number.

55540296 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55540296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89232000).

55540296 is an abundant number, since it is smaller than the sum of its proper divisors (122923704).

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

55540296 is a wasteful number, since it uses less digits than its factorization.

55540296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 55540296 is about 7452.5362125923. The cubic root of 55540296 is about 381.5364753242.

The spelling of 55540296 in words is "fifty-five million, five hundred forty thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 109 126 168 189 216 218 252 327 337 378 436 504 654 674 756 763 872 981 1011 1308 1348 1512 1526 1962 2022 2289 2359 2616 2696 2943 3033 3052 3924 4044 4578 4718 5886 6066 6104 6867 7077 7848 8088 9099 9156 9436 11772 12132 13734 14154 18198 18312 18872 20601 21231 23544 24264 27468 28308 36396 36733 41202 42462 54936 56616 63693 72792 73466 82404 84924 110199 127386 146932 164808 169848 220398 254772 257131 293864 330597 440796 509544 514262 661194 771393 881592 991791 1028524 1322388 1542786 1983582 2057048 2314179 2644776 3085572 3967164 4628358 6171144 6942537 7934328 9256716 13885074 18513432 27770148 55540296