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42479040 = 263544249
BaseRepresentation
bin1010001000001…
…0110111000000
32221221011021210
42202002313000
541333312130
64114250120
71024031412
oct242026700
987834253
1042479040
1121a8414a
1212286940
138a54036
1458da9b2
153ae15b0
hex2882dc0

42479040 has 56 divisors (see below), whose sum is σ = 134874000. Its totient is φ = 11327488.

The previous prime is 42479033. The next prime is 42479081. The reversal of 42479040 is 4097424.

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

It is a junction number, because it is equal to n+sod(n) for n = 42478989 and 42479007.

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, 21165 + ... + 23084.

Almost surely, 242479040 is an apocalyptic number.

42479040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42479040 is an abundant number, since it is smaller than the sum of its proper divisors (92394960).

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

42479040 is a wasteful number, since it uses less digits than its factorization.

42479040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44269 (or 44259 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 42479040 is about 6517.5946483346. The cubic root of 42479040 is about 348.9192238955.

The spelling of 42479040 in words is "forty-two million, four hundred seventy-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 44249 88498 132747 176996 221245 265494 353992 442490 530988 663735 707984 884980 1061976 1327470 1415968 1769960 2123952 2654940 2831936 3539920 4247904 5309880 7079840 8495808 10619760 14159680 21239520 42479040