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42433820 = 225111337401
BaseRepresentation
bin1010000111011…
…1110100011100
32221211212020222
42201313310130
541330340240
64113300512
71023452522
oct241676434
987755228
1042433820
1121a53180
1212264738
138a39590
1458c8312
153ad2eb5
hex2877d1c

42433820 has 96 divisors (see below), whose sum is σ = 107787456. Its totient is φ = 13824000.

The previous prime is 42433813. The next prime is 42433841. The reversal of 42433820 is 2833424.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 42433820.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105620 + ... + 106020.

It is an arithmetic number, because the mean of its divisors is an integer number (1122786).

Almost surely, 242433820 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 42433820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53893728).

42433820 is an abundant number, since it is smaller than the sum of its proper divisors (65353636).

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

42433820 is a wasteful number, since it uses less digits than its factorization.

42433820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 42433820 is about 6514.1246533974. The cubic root of 42433820 is about 348.7953688574.

The spelling of 42433820 in words is "forty-two million, four hundred thirty-three thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 37 44 52 55 65 74 110 130 143 148 185 220 260 286 370 401 407 481 572 715 740 802 814 962 1430 1604 1628 1924 2005 2035 2405 2860 4010 4070 4411 4810 5213 5291 8020 8140 8822 9620 10426 10582 14837 17644 20852 21164 22055 26065 26455 29674 44110 52130 52910 57343 59348 74185 88220 104260 105820 114686 148370 163207 192881 229372 286715 296740 326414 385762 573430 652828 771524 816035 964405 1146860 1632070 1928810 2121691 3264140 3857620 4243382 8486764 10608455 21216910 42433820