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42997950 = 232521947107
BaseRepresentation
bin1010010000000…
…1100010111110
32222220112002200
42210001202332
542001413300
64133332330
71031322312
oct244014276
988815080
1042997950
11222a8aa6
12124970a6
138ba6298
1459d3b42
153b95200
hex29018be

42997950 has 144 divisors (see below), whose sum is σ = 125349120. Its totient is φ = 10532160.

The previous prime is 42997943. The next prime is 42997951. The reversal of 42997950 is 5979924.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 42997896 and 42997905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42997951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 401797 + ... + 401903.

It is an arithmetic number, because the mean of its divisors is an integer number (870480).

Almost surely, 242997950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42997950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62674560).

42997950 is an abundant number, since it is smaller than the sum of its proper divisors (82351170).

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

42997950 is a wasteful number, since it uses less digits than its factorization.

42997950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 42997950 is about 6557.2822114044. The cubic root of 42997950 is about 350.3342385347.

The spelling of 42997950 in words is "forty-two million, nine hundred ninety-seven thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 19 25 30 38 45 47 50 57 75 90 94 95 107 114 141 150 171 190 214 225 235 282 285 321 342 423 450 470 475 535 570 642 705 846 855 893 950 963 1070 1175 1410 1425 1605 1710 1786 1926 2033 2115 2350 2675 2679 2850 3210 3525 4066 4230 4275 4465 4815 5029 5350 5358 6099 7050 8025 8037 8550 8930 9630 10058 10165 10575 12198 13395 15087 16050 16074 18297 20330 21150 22325 24075 25145 26790 30174 30495 36594 40185 44650 45261 48150 50290 50825 60990 66975 75435 80370 90522 91485 95551 101650 125725 133950 150870 152475 182970 191102 200925 226305 251450 286653 304950 377175 401850 452610 457425 477755 573306 754350 859959 914850 955510 1131525 1433265 1719918 2263050 2388775 2866530 4299795 4777550 7166325 8599590 14332650 21498975 42997950