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42479000 = 2353107397
BaseRepresentation
bin1010001000001…
…0110110011000
32221221011020022
42202002312120
541333312000
64114250012
71024031324
oct242026630
987834208
1042479000
1121a84113
1212286908
138a54005
1458da984
153ae1585
hex2882d98

42479000 has 64 divisors (see below), whose sum is σ = 100582560. Its totient is φ = 16790400.

The previous prime is 42478991. The next prime is 42479009. The reversal of 42479000 is 97424.

It is an interprime number because it is at equal distance from previous prime (42478991) and next prime (42479009).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42479009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106802 + ... + 107198.

Almost surely, 242479000 is an apocalyptic number.

42479000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42479000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50291280).

42479000 is an abundant number, since it is smaller than the sum of its proper divisors (58103560).

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

42479000 is a wasteful number, since it uses less digits than its factorization.

42479000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 42479000 is about 6517.5915797172. The cubic root of 42479000 is about 348.9191143766.

The spelling of 42479000 in words is "forty-two million, four hundred seventy-nine thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 107 125 200 214 250 397 428 500 535 794 856 1000 1070 1588 1985 2140 2675 3176 3970 4280 5350 7940 9925 10700 13375 15880 19850 21400 26750 39700 42479 49625 53500 79400 84958 99250 107000 169916 198500 212395 339832 397000 424790 849580 1061975 1699160 2123950 4247900 5309875 8495800 10619750 21239500 42479000