Search a number
-
+
42246848 = 267181521
BaseRepresentation
bin1010000100101…
…0001011000000
32221111100210002
42201022023000
541303344343
64105255132
71022043440
oct241121300
987440702
1042246848
1121935756
12121944a8
1389a2447
14587a120
153a978b8
hex284a2c0

42246848 has 56 divisors (see below), whose sum is σ = 96524064. Its totient is φ = 17971200.

The previous prime is 42246839. The next prime is 42246857. The reversal of 42246848 is 84864224.

It is an interprime number because it is at equal distance from previous prime (42246839) and next prime (42246857).

It is a tau number, because it is divible by the number of its divisors (56).

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, 80828 + ... + 81348.

It is an arithmetic number, because the mean of its divisors is an integer number (1723644).

Almost surely, 242246848 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 42246848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48262032).

42246848 is an abundant number, since it is smaller than the sum of its proper divisors (54277216).

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

42246848 is a wasteful number, since it uses less digits than its factorization.

42246848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721 (or 711 counting only the distinct ones).

The product of its digits is 98304, while the sum is 38.

The square root of 42246848 is about 6499.7575339392. The cubic root of 42246848 is about 348.2823269306.

The spelling of 42246848 in words is "forty-two million, two hundred forty-six thousand, eight hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 181 224 362 448 521 724 1042 1267 1448 2084 2534 2896 3647 4168 5068 5792 7294 8336 10136 11584 14588 16672 20272 29176 33344 40544 58352 81088 94301 116704 188602 233408 377204 660107 754408 1320214 1508816 2640428 3017632 5280856 6035264 10561712 21123424 42246848