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42573580 = 2257417417
BaseRepresentation
bin1010001001100…
…1111100001100
32222002221222021
42202121330030
541344323310
64120255524
71024604140
oct242317414
988087867
1042573580
1122039185
12123115a4
138a8808a
145923220
153b0e5da
hex2899f0c

42573580 has 48 divisors (see below), whose sum is σ = 104682816. Its totient is φ = 14238720.

The previous prime is 42573577. The next prime is 42573581. The reversal of 42573580 is 8537524.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (42573581) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2032 + ... + 9448.

It is an arithmetic number, because the mean of its divisors is an integer number (2180892).

Almost surely, 242573580 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 42573580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52341408).

42573580 is an abundant number, since it is smaller than the sum of its proper divisors (62109236).

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

42573580 is a wasteful number, since it uses less digits than its factorization.

42573580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7474 (or 7472 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 34.

The square root of 42573580 is about 6524.8432931374. The cubic root of 42573580 is about 349.1778799461.

The spelling of 42573580 in words is "forty-two million, five hundred seventy-three thousand, five hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 70 82 140 164 205 287 410 574 820 1148 1435 2870 5740 7417 14834 29668 37085 51919 74170 103838 148340 207676 259595 304097 519190 608194 1038380 1216388 1520485 2128679 3040970 4257358 6081940 8514716 10643395 21286790 42573580