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42945700 = 22527193229
BaseRepresentation
bin1010001111010…
…0110010100100
32222210212102111
42203310302210
541443230300
64132250404
71031014060
oct243646244
988725374
1042945700
1122272816
1212470a04
138b88575
1459bcaa0
153b849ba
hex28f4ca4

42945700 has 72 divisors (see below), whose sum is σ = 112145600. Its totient is φ = 13944960.

The previous prime is 42945697. The next prime is 42945709. The reversal of 42945700 is 754924.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42945709) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11686 + ... + 14914.

Almost surely, 242945700 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 42945700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56072800).

42945700 is an abundant number, since it is smaller than the sum of its proper divisors (69199900).

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

42945700 is a wasteful number, since it uses less digits than its factorization.

42945700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3269 (or 3262 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 42945700 is about 6553.2968801970. The cubic root of 42945700 is about 350.1922753051.

The spelling of 42945700 in words is "forty-two million, nine hundred forty-five thousand, seven hundred".

Divisors: 1 2 4 5 7 10 14 19 20 25 28 35 38 50 70 76 95 100 133 140 175 190 266 350 380 475 532 665 700 950 1330 1900 2660 3229 3325 6458 6650 12916 13300 16145 22603 32290 45206 61351 64580 80725 90412 113015 122702 161450 226030 245404 306755 322900 429457 452060 565075 613510 858914 1130150 1227020 1533775 1717828 2147285 2260300 3067550 4294570 6135100 8589140 10736425 21472850 42945700