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42338432 = 271719457
BaseRepresentation
bin1010000110000…
…0100010000000
32221200000102002
42201200202000
541314312212
64111243132
71022604443
oct241404200
987600362
1042338432
1121998544
12122194a8
138a05036
1458a165a
153ab4ac2
hex2860880

42338432 has 32 divisors (see below), whose sum is σ = 89312220. Its totient is φ = 19922944.

The previous prime is 42338411. The next prime is 42338447. The reversal of 42338432 is 23483324.

It can be written as a sum of positive squares in 2 ways, for example, as 38241856 + 4096576 = 6184^2 + 2024^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 42338395 and 42338404.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7553 + ... + 11904.

Almost surely, 242338432 is an apocalyptic number.

It is an amenable number.

42338432 is an abundant number, since it is smaller than the sum of its proper divisors (46973788).

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

42338432 is a wasteful number, since it uses less digits than its factorization.

42338432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19488 (or 19476 counting only the distinct ones).

The product of its digits is 13824, while the sum is 29.

The square root of 42338432 is about 6506.7989057600. The cubic root of 42338432 is about 348.5338176232.

The spelling of 42338432 in words is "forty-two million, three hundred thirty-eight thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 544 1088 2176 19457 38914 77828 155656 311312 330769 622624 661538 1245248 1323076 2490496 2646152 5292304 10584608 21169216 42338432