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42942900 = 223527112132
BaseRepresentation
bin1010001111010…
…0000110110100
32222210201120210
42203310012310
541443133100
64132225420
71031002650
oct243640664
988721523
1042942900
1122270700
121246b270
138b87200
1459bba60
153b83c50
hex28f41b4

42942900 has 324 divisors, whose sum is σ = 169010016. Its totient is φ = 8236800.

The previous prime is 42942883. The next prime is 42942923. The reversal of 42942900 is 924924.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 3303294 + ... + 3303306.

Almost surely, 242942900 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 42942900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84505008).

42942900 is an abundant number, since it is smaller than the sum of its proper divisors (126067116).

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

42942900 is a wasteful number, since it uses less digits than its factorization.

42942900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 42942900 is about 6553.0832437869. The cubic root of 42942900 is about 350.1846644563.

It can be divided in two parts, 429 and 42900, that multiplied together give a square (18404100 = 42902).

The spelling of 42942900 in words is "forty-two million, nine hundred forty-two thousand, nine hundred".