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42295120 = 245775527
BaseRepresentation
bin1010000101010…
…1111101010000
32221120210222221
42201111331100
541311420440
64110310424
71022334250
oct241257520
987523887
1042295120
1121968a4a
12121b8414
1389bb3ca
14588d960
153aa6d4a
hex2855f50

42295120 has 40 divisors (see below), whose sum is σ = 112385664. Its totient is φ = 14500992.

The previous prime is 42295081. The next prime is 42295147. The reversal of 42295120 is 2159224.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37204 + ... + 38323.

Almost surely, 242295120 is an apocalyptic number.

42295120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42295120 is an abundant number, since it is smaller than the sum of its proper divisors (70090544).

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

42295120 is a wasteful number, since it uses less digits than its factorization.

42295120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75547 (or 75541 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 42295120 is about 6503.4698430915. The cubic root of 42295120 is about 348.4149276335.

The spelling of 42295120 in words is "forty-two million, two hundred ninety-five thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 75527 151054 302108 377635 528689 604216 755270 1057378 1208432 1510540 2114756 2643445 3021080 4229512 5286890 6042160 8459024 10573780 21147560 42295120