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42752380 = 22511296701
BaseRepresentation
bin1010001100010…
…1100101111100
32222110001020111
42203011211330
541421034010
64124155404
71026250336
oct243054574
988401214
1042752380
1122150550
1212398b64
138b1b588
14596c456
153b4758a
hex28c597c

42752380 has 48 divisors (see below), whose sum is σ = 101334240. Its totient is φ = 15008000.

The previous prime is 42752341. The next prime is 42752383. The reversal of 42752380 is 8325724.

42752380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42752383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3030 + ... + 9730.

It is an arithmetic number, because the mean of its divisors is an integer number (2111130).

Almost surely, 242752380 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 42752380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50667120).

42752380 is an abundant number, since it is smaller than the sum of its proper divisors (58581860).

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

42752380 is a wasteful number, since it uses less digits than its factorization.

42752380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6750 (or 6748 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 31.

The square root of 42752380 is about 6538.5304159268. The cubic root of 42752380 is about 349.6660215471. Note that the first 3 decimals are identical.

The spelling of 42752380 in words is "forty-two million, seven hundred fifty-two thousand, three hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 145 220 290 319 580 638 1276 1595 3190 6380 6701 13402 26804 33505 67010 73711 134020 147422 194329 294844 368555 388658 737110 777316 971645 1474220 1943290 2137619 3886580 4275238 8550476 10688095 21376190 42752380