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42423948 = 22327792131
BaseRepresentation
bin1010000111010…
…1011010001100
32221211100201100
42201311122030
541330031243
64113143100
71023411660
oct241653214
987740640
1042423948
1121a46816
121225aa90
138a34c38
1458c48a0
153ad00d3
hex287568c

42423948 has 72 divisors (see below), whose sum is σ = 124167680. Its totient is φ = 11962080.

The previous prime is 42423947. The next prime is 42423967. The reversal of 42423948 is 84932424.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42423943) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18843 + ... + 20973.

Almost surely, 242423948 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 42423948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62083840).

42423948 is an abundant number, since it is smaller than the sum of its proper divisors (81743732).

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

42423948 is a wasteful number, since it uses less digits than its factorization.

42423948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2227 (or 2222 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 42423948 is about 6513.3668712886. The cubic root of 42423948 is about 348.7683183040.

The spelling of 42423948 in words is "forty-two million, four hundred twenty-three thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 79 84 126 158 237 252 316 474 553 711 948 1106 1422 1659 2131 2212 2844 3318 4262 4977 6393 6636 8524 9954 12786 14917 19179 19908 25572 29834 38358 44751 59668 76716 89502 134253 168349 179004 268506 336698 505047 537012 673396 1010094 1178443 1515141 2020188 2356886 3030282 3535329 4713772 6060564 7070658 10605987 14141316 21211974 42423948