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42996420 = 22375983
BaseRepresentation
bin1010010000000…
…1001011000100
32222220110000000
42210001023010
542001341140
64133321300
71031314665
oct244011304
988813000
1042996420
11222a7935
1212496230
138ba568c
1459d336c
153b94a30
hex29012c4

42996420 has 96 divisors (see below), whose sum is σ = 135555840. Its totient is φ = 11454048.

The previous prime is 42996419. The next prime is 42996463. The reversal of 42996420 is 2469924.

42996420 is a `hidden beast` number, since 4 + 2 + 9 + 9 + 642 + 0 = 666.

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

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, 43249 + ... + 44231.

It is an arithmetic number, because the mean of its divisors is an integer number (1412040).

Almost surely, 242996420 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 42996420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67777920).

42996420 is an abundant number, since it is smaller than the sum of its proper divisors (92559420).

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

42996420 is an equidigital number, since it uses as much as digits as its factorization.

42996420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1013 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 42996420 is about 6557.1655461792. The cubic root of 42996420 is about 350.3300831603.

The spelling of 42996420 in words is "forty-two million, nine hundred ninety-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 729 810 972 983 1215 1458 1620 1966 2187 2430 2916 2949 3645 3932 4374 4860 4915 5898 7290 8748 8847 9830 10935 11796 14580 14745 17694 19660 21870 26541 29490 35388 43740 44235 53082 58980 79623 88470 106164 132705 159246 176940 238869 265410 318492 398115 477738 530820 716607 796230 955476 1194345 1433214 1592460 2149821 2388690 2866428 3583035 4299642 4777380 7166070 8599284 10749105 14332140 21498210 42996420