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42373440 = 2632514713
BaseRepresentation
bin1010000110100…
…1000101000000
32221201210102200
42201221011000
541321422230
64112113200
71023111504
oct241510500
987653380
1042373440
1121a1187a
1212235800
138a17c55
1458b0304
153ac0160
hex2869140

42373440 has 84 divisors (see below), whose sum is σ = 145756884. Its totient is φ = 11298816.

The previous prime is 42373433. The next prime is 42373481. The reversal of 42373440 is 4437324.

It can be written as a sum of positive squares in 2 ways, for example, as 23503104 + 18870336 = 4848^2 + 4344^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4477 + ... + 10236.

It is an arithmetic number, because the mean of its divisors is an integer number (1735201).

Almost surely, 242373440 is an apocalyptic number.

42373440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42373440 is an abundant number, since it is smaller than the sum of its proper divisors (103383444).

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

42373440 is a wasteful number, since it uses less digits than its factorization.

42373440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14736 (or 14723 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 27.

The square root of 42373440 is about 6509.4884591648. The cubic root of 42373440 is about 348.6298541703.

The spelling of 42373440 in words is "forty-two million, three hundred seventy-three thousand, four 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 14713 29426 44139 58852 73565 88278 117704 132417 147130 176556 220695 235408 264834 294260 353112 441390 470816 529668 588520 662085 706224 882780 941632 1059336 1177040 1324170 1412448 1765560 2118672 2354080 2648340 2824896 3531120 4237344 4708160 5296680 7062240 8474688 10593360 14124480 21186720 42373440