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42291800 = 23521032053
BaseRepresentation
bin1010000101010…
…1001001011000
32221120122102222
42201111021120
541311314200
64110243212
71022321465
oct241251130
987518388
1042291800
1121966501
12121b6508
1389b9a45
14588c66c
153aa5d85
hex2855258

42291800 has 48 divisors (see below), whose sum is σ = 99331440. Its totient is φ = 16744320.

The previous prime is 42291797. The next prime is 42291811. The reversal of 42291800 is 819224.

It is a self number, because there is not a number n which added to its sum of digits gives 42291800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19574 + ... + 21626.

It is an arithmetic number, because the mean of its divisors is an integer number (2069405).

Almost surely, 242291800 is an apocalyptic number.

42291800 is a gapful number since it is divisible by the number (40) 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 42291800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49665720).

42291800 is an abundant number, since it is smaller than the sum of its proper divisors (57039640).

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

42291800 is a wasteful number, since it uses less digits than its factorization.

42291800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2172 (or 2163 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 42291800 is about 6503.2145897241. The cubic root of 42291800 is about 348.4058109960.

The spelling of 42291800 in words is "forty-two million, two hundred ninety-one thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 103 200 206 412 515 824 1030 2053 2060 2575 4106 4120 5150 8212 10265 10300 16424 20530 20600 41060 51325 82120 102650 205300 211459 410600 422918 845836 1057295 1691672 2114590 4229180 5286475 8458360 10572950 21145900 42291800