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42742420 = 22571717959
BaseRepresentation
bin1010001100001…
…1001010010100
32222102112120121
42203003022110
541420224140
64124041324
71026206320
oct243031224
988375517
1042742420
1122144016
1212393244
138b16b96
145968980
153b4464a
hex28c3294

42742420 has 48 divisors (see below), whose sum is σ = 108622080. Its totient is φ = 13791744.

The previous prime is 42742409. The next prime is 42742421. The reversal of 42742420 is 2424724.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42742421) 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, 6600 + ... + 11359.

It is an arithmetic number, because the mean of its divisors is an integer number (2262960).

Almost surely, 242742420 is an apocalyptic number.

It is an amenable number.

42742420 is an abundant number, since it is smaller than the sum of its proper divisors (65879660).

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

42742420 is a wasteful number, since it uses less digits than its factorization.

42742420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17992 (or 17990 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 25.

The square root of 42742420 is about 6537.7687325264. The cubic root of 42742420 is about 349.6388656004.

The spelling of 42742420 in words is "forty-two million, seven hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 170 238 340 476 595 1190 2380 17959 35918 71836 89795 125713 179590 251426 305303 359180 502852 610606 628565 1221212 1257130 1526515 2137121 2514260 3053030 4274242 6106060 8548484 10685605 21371210 42742420