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42747840 = 2632514843
BaseRepresentation
bin1010001100010…
…0011111000000
32222102211000100
42203010133000
541420412330
64124122400
71026231162
oct243043700
988384010
1042747840
11221480a3
1212396400
138b194a5
14596a932
153b46060
hex28c47c0

42747840 has 84 divisors (see below), whose sum is σ = 147044664. Its totient is φ = 11398656.

The previous prime is 42747829. The next prime is 42747841. The reversal of 42747840 is 4874724.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 42747795 and 42747804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42747841) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4542 + ... + 10301.

Almost surely, 242747840 is an apocalyptic number.

42747840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42747840 is an abundant number, since it is smaller than the sum of its proper divisors (104296824).

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

42747840 is a wasteful number, since it uses less digits than its factorization.

42747840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14866 (or 14853 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The square root of 42747840 is about 6538.1832338961. The cubic root of 42747840 is about 349.6536437572.

The spelling of 42747840 in words is "forty-two million, seven hundred forty-seven thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 14843 29686 44529 59372 74215 89058 118744 133587 148430 178116 222645 237488 267174 296860 356232 445290 474976 534348 593720 667935 712464 890580 949952 1068696 1187440 1335870 1424928 1781160 2137392 2374880 2671740 2849856 3562320 4274784 4749760 5343480 7124640 8549568 10686960 14249280 21373920 42747840