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42590352 = 2437126757
BaseRepresentation
bin1010001001111…
…0000010010000
32222010210222110
42202132002100
541400342402
64120505320
71025004060
oct242360220
988123873
1042590352
112204a842
121231b240
138a928bc
1459293a0
153b1456c
hex289e090

42590352 has 40 divisors (see below), whose sum is σ = 125743936. Its totient is φ = 12168576.

The previous prime is 42590347. The next prime is 42590363. The reversal of 42590352 is 25309524.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63043 + ... + 63714.

Almost surely, 242590352 is an apocalyptic number.

42590352 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

42590352 is an abundant number, since it is smaller than the sum of its proper divisors (83153584).

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

42590352 is a wasteful number, since it uses less digits than its factorization.

42590352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126775 (or 126769 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 42590352 is about 6526.1284081759. The cubic root of 42590352 is about 349.2237271791.

Adding to 42590352 its reverse (25309524), we get a palindrome (67899876).

The spelling of 42590352 in words is "forty-two million, five hundred ninety thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 126757 253514 380271 507028 760542 887299 1014056 1521084 1774598 2028112 2661897 3042168 3549196 5323794 6084336 7098392 10647588 14196784 21295176 42590352