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42025056 = 253974513
BaseRepresentation
bin1010000001010…
…0000001100000
32221002002112120
42200110001200
541224300211
64100424240
71020131013
oct240240140
987062476
1042025056
11217a4057
12120a8080
1389254c8
14581d37a
153a51d06
hex2814060

42025056 has 48 divisors (see below), whose sum is σ = 111477744. Its totient is φ = 13860864.

The previous prime is 42025001. The next prime is 42025069. The reversal of 42025056 is 65052024.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×420250562 = 3532210663606272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 7056 + ... + 11568.

It is an arithmetic number, because the mean of its divisors is an integer number (2322453).

Almost surely, 242025056 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 42025056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55738872).

42025056 is an abundant number, since it is smaller than the sum of its proper divisors (69452688).

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

42025056 is a wasteful number, since it uses less digits than its factorization.

42025056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4623 (or 4615 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 42025056 is about 6482.6735225523. The cubic root of 42025056 is about 347.6717740203.

The spelling of 42025056 in words is "forty-two million, twenty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 97 194 291 388 582 776 1164 1552 2328 3104 4513 4656 9026 9312 13539 18052 27078 36104 54156 72208 108312 144416 216624 433248 437761 875522 1313283 1751044 2626566 3502088 5253132 7004176 10506264 14008352 21012528 42025056