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42434931 = 3731123163
BaseRepresentation
bin1010000111100…
…0000101110011
32221211220210010
42201320011303
541330404211
64113310003
71023456000
oct241700563
987756703
1042434931
1121a53aa0
1212265303
138a39c36
1458c88a7
153ad34a6
hex2878173

42434931 has 64 divisors (see below), whose sum is σ = 75571200. Its totient is φ = 20956320.

The previous prime is 42434921. The next prime is 42434969. The reversal of 42434931 is 13943424.

It is not a de Polignac number, because 42434931 - 27 = 42434803 is a prime.

It is a super-2 number, since 2×424349312 = 3601446737949522, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42434911) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 260256 + ... + 260418.

It is an arithmetic number, because the mean of its divisors is an integer number (1180800).

Almost surely, 242434931 is an apocalyptic number.

42434931 is a deficient number, since it is larger than the sum of its proper divisors (33136269).

42434931 is a wasteful number, since it uses less digits than its factorization.

42434931 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 207 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The square root of 42434931 is about 6514.2099290704. The cubic root of 42434931 is about 348.7984128780.

It can be divided in two parts, 42434 and 931, that added together give a triangular number (43365 = T294).

The spelling of 42434931 in words is "forty-two million, four hundred thirty-four thousand, nine hundred thirty-one".

Divisors: 1 3 7 11 21 23 33 49 69 77 147 161 163 231 253 343 483 489 539 759 1029 1127 1141 1617 1771 1793 3381 3423 3749 3773 5313 5379 7889 7987 11247 11319 12397 12551 23667 23961 26243 37191 37653 41239 55909 78729 86779 87857 123717 167727 183701 260337 263571 288673 551103 614999 866019 1285907 1844997 2020711 3857721 6062133 14144977 42434931