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42974820 = 22335711369
BaseRepresentation
bin1010001111101…
…1111001100100
32222212100101000
42203323321210
542000143240
64133033300
71031165010
oct243737144
988770330
1042974820
1122292689
1212485830
138b988b5
1459c9540
153b8d430
hex28fbe64

42974820 has 96 divisors (see below), whose sum is σ = 152812800. Its totient is φ = 9821952.

The previous prime is 42974803. The next prime is 42974821. The reversal of 42974820 is 2847924.

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

It is not an unprimeable number, because it can be changed into a prime (42974821) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1905 + ... + 9464.

It is an arithmetic number, because the mean of its divisors is an integer number (1591800).

Almost surely, 242974820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42974820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76406400).

42974820 is an abundant number, since it is smaller than the sum of its proper divisors (109837980).

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

42974820 is a wasteful number, since it uses less digits than its factorization.

42974820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11394 (or 11386 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 42974820 is about 6555.5182861464. The cubic root of 42974820 is about 350.2714085287.

The spelling of 42974820 in words is "forty-two million, nine hundred seventy-four thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 84 90 105 108 126 135 140 180 189 210 252 270 315 378 420 540 630 756 945 1260 1890 3780 11369 22738 34107 45476 56845 68214 79583 102321 113690 136428 159166 170535 204642 227380 238749 306963 318332 341070 397915 409284 477498 511605 613926 682140 716247 795830 954996 1023210 1193745 1227852 1432494 1534815 1591660 2046420 2148741 2387490 2864988 3069630 3581235 4297482 4774980 6139260 7162470 8594964 10743705 14324940 21487410 42974820