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42030976 = 271322967
BaseRepresentation
bin1010000001010…
…1011110000000
32221002101122211
42200111132000
541224442401
64100511504
71020154201
oct240253600
987071584
1042030976
11217a8549
12120ab594
138928100
1458215a8
153a53951
hex2815780

42030976 has 96 divisors (see below), whose sum is σ = 95196600. Its totient is φ = 18450432.

The previous prime is 42030971. The next prime is 42031039. The reversal of 42030976 is 67903024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42030971) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 627295 + ... + 627361.

Almost surely, 242030976 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 42030976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47598300).

42030976 is an abundant number, since it is smaller than the sum of its proper divisors (53165624).

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

42030976 is a wasteful number, since it uses less digits than its factorization.

42030976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 31.

The square root of 42030976 is about 6483.1301082116. The cubic root of 42030976 is about 347.6880985693.

The spelling of 42030976 in words is "forty-two million, thirty thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 64 67 104 116 128 134 169 208 232 268 338 377 416 464 536 676 754 832 871 928 1072 1352 1508 1664 1742 1856 1943 2144 2704 3016 3484 3712 3886 4288 4901 5408 6032 6968 7772 8576 9802 10816 11323 12064 13936 15544 19604 21632 22646 24128 25259 27872 31088 39208 45292 48256 50518 55744 62176 78416 90584 101036 111488 124352 156832 181168 202072 248704 313664 328367 362336 404144 627328 656734 724672 808288 1313468 1449344 1616576 2626936 3233152 5253872 10507744 21015488 42030976