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59042200 = 23527181233
BaseRepresentation
bin1110000100111…
…0100110011000
311010002122200011
43201032212120
5110103322300
65505251304
71314564460
oct341164630
9133078604
1059042200
1130367308
1217933b34
13c303019
147bacba0
1552b3eba
hex384e998

59042200 has 96 divisors (see below), whose sum is σ = 158427360. Its totient is φ = 20044800.

The previous prime is 59042171. The next prime is 59042239. The reversal of 59042200 is 224095.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 253284 + ... + 253516.

It is an arithmetic number, because the mean of its divisors is an integer number (1650285).

Almost surely, 259042200 is an apocalyptic number.

59042200 is a gapful number since it is divisible by the number (50) 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 59042200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79213680).

59042200 is an abundant number, since it is smaller than the sum of its proper divisors (99385160).

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

59042200 is a wasteful number, since it uses less digits than its factorization.

59042200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 59042200 is about 7683.8922428675. The cubic root of 59042200 is about 389.3924355398.

Adding to 59042200 its reverse (224095), we get a palindrome (59266295).

The spelling of 59042200 in words is "fifty-nine million, forty-two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 181 200 233 280 350 362 466 700 724 905 932 1165 1267 1400 1448 1631 1810 1864 2330 2534 3262 3620 4525 4660 5068 5825 6335 6524 7240 8155 9050 9320 10136 11650 12670 13048 16310 18100 23300 25340 31675 32620 36200 40775 42173 46600 50680 63350 65240 81550 84346 126700 163100 168692 210865 253400 295211 326200 337384 421730 590422 843460 1054325 1180844 1476055 1686920 2108650 2361688 2952110 4217300 5904220 7380275 8434600 11808440 14760550 29521100 59042200