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42992100 = 22335215923
BaseRepresentation
bin1010010000000…
…0000111100100
32222220020002000
42210000013210
542001221400
64133245300
71031266254
oct244000744
988806060
1042992100
11222a4668
1212493830
138ba3718
1459d1964
153b93600
hex29001e4

42992100 has 72 divisors (see below), whose sum is σ = 138220320. Its totient is φ = 11463840.

The previous prime is 42992087. The next prime is 42992143. The reversal of 42992100 is 129924.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 5262 + ... + 10661.

Almost surely, 242992100 is an apocalyptic number.

It is an amenable number.

42992100 is an abundant number, since it is smaller than the sum of its proper divisors (95228220).

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

42992100 is a wasteful number, since it uses less digits than its factorization.

42992100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15946 (or 15933 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 42992100 is about 6556.8361272797. The cubic root of 42992100 is about 350.3183498063.

It can be divided in two parts, 429 and 92100, that added together give a palindrome (92529).

The spelling of 42992100 in words is "forty-two million, nine hundred ninety-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 1350 2700 15923 31846 47769 63692 79615 95538 143307 159230 191076 238845 286614 318460 398075 429921 477690 573228 716535 796150 859842 955380 1194225 1433070 1592300 1719684 2149605 2388450 2866140 3582675 4299210 4776900 7165350 8598420 10748025 14330700 21496050 42992100