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42404148 = 2234294513
BaseRepresentation
bin1010000111000…
…0100100110100
32221210100120000
42201300210310
541323413043
64112511300
71023300153
oct241604464
987710500
1042404148
1121a32956
121224b530
138a28c17
1458bb59a
153ac92d3
hex2870934

42404148 has 60 divisors (see below), whose sum is σ = 114700740. Its totient is φ = 13644288.

The previous prime is 42404147. The next prime is 42404189. The reversal of 42404148 is 84140424.

It is a happy number.

42404148 is a `hidden beast` number, since 4 + 240 + 414 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6906384 + 35497764 = 2628^2 + 5958^2 .

It is a super-2 number, since 2×424041482 = 3596223535211808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42404147) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7140 + ... + 11652.

It is an arithmetic number, because the mean of its divisors is an integer number (1911679).

Almost surely, 242404148 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 42404148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57350370).

42404148 is an abundant number, since it is smaller than the sum of its proper divisors (72296592).

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

42404148 is a wasteful number, since it uses less digits than its factorization.

42404148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4558 (or 4547 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 42404148 is about 6511.8467426683. The cubic root of 42404148 is about 348.7140510986.

The spelling of 42404148 in words is "forty-two million, four hundred four thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 162 174 261 324 348 522 783 1044 1566 2349 3132 4513 4698 9026 9396 13539 18052 27078 40617 54156 81234 121851 130877 162468 243702 261754 365553 392631 487404 523508 731106 785262 1177893 1462212 1570524 2355786 3533679 4711572 7067358 10601037 14134716 21202074 42404148