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42201488 = 247478017
BaseRepresentation
bin1010000011111…
…1000110010000
32221102001120002
42200333012100
541300421423
64104305132
71021464260
oct240770620
987361502
1042201488
112190466a
12121721a8
1389878c4
1458677a0
153a89228
hex283f190

42201488 has 40 divisors (see below), whose sum is σ = 95446272. Its totient is φ = 17699328.

The previous prime is 42201487. The next prime is 42201539. The reversal of 42201488 is 88410224.

It is a self number, because there is not a number n which added to its sum of digits gives 42201488.

It is not an unprimeable number, because it can be changed into a prime (42201487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1256 + ... + 9272.

Almost surely, 242201488 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 42201488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47723136).

42201488 is an abundant number, since it is smaller than the sum of its proper divisors (53244784).

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

42201488 is a wasteful number, since it uses less digits than its factorization.

42201488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8079 (or 8073 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 29.

The square root of 42201488 is about 6496.2672358825. The cubic root of 42201488 is about 348.1576332588.

The spelling of 42201488 in words is "forty-two million, two hundred one thousand, four hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 47 56 94 112 188 329 376 658 752 1316 2632 5264 8017 16034 32068 56119 64136 112238 128272 224476 376799 448952 753598 897904 1507196 2637593 3014392 5275186 6028784 10550372 21100744 42201488