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42345376 = 2519257271
BaseRepresentation
bin1010000110001…
…0001110100000
32221200100221021
42201202032200
541320023001
64111335224
71022633623
oct241421640
987610837
1042345376
11219a2787
1212221514
138a08248
1458a3dba
153ab6ba1
hex28623a0

42345376 has 48 divisors (see below), whose sum is σ = 88421760. Its totient is φ = 19906560.

The previous prime is 42345341. The next prime is 42345389. The reversal of 42345376 is 67354324.

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, 156121 + ... + 156391.

It is an arithmetic number, because the mean of its divisors is an integer number (1842120).

Almost surely, 242345376 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 42345376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44210880).

42345376 is an abundant number, since it is smaller than the sum of its proper divisors (46076384).

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

42345376 is a wasteful number, since it uses less digits than its factorization.

42345376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 549 counting only the distinct ones).

The product of its digits is 60480, while the sum is 34.

The square root of 42345376 is about 6507.3324795956. The cubic root of 42345376 is about 348.5528711278.

The spelling of 42345376 in words is "forty-two million, three hundred forty-five thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 19 32 38 76 152 257 271 304 514 542 608 1028 1084 2056 2168 4112 4336 4883 5149 8224 8672 9766 10298 19532 20596 39064 41192 69647 78128 82384 139294 156256 164768 278588 557176 1114352 1323293 2228704 2646586 5293172 10586344 21172688 42345376