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42485148 = 2235109401
BaseRepresentation
bin1010001000010…
…0010110011100
32221221110200000
42202010112130
541334011043
64114334300
71024055256
oct242042634
987843600
1042485148
1121a887a2
121228a390
138a56a54
1458dccd6
153ae32d3
hex288459c

42485148 has 72 divisors (see below), whose sum is σ = 112672560. Its totient is φ = 13996800.

The previous prime is 42485147. The next prime is 42485189. The reversal of 42485148 is 84158424.

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 (42485141) 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, 105748 + ... + 106148.

Almost surely, 242485148 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 42485148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56336280).

42485148 is an abundant number, since it is smaller than the sum of its proper divisors (70187412).

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

42485148 is a wasteful number, since it uses less digits than its factorization.

42485148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 515 counting only the distinct ones).

The product of its digits is 40960, while the sum is 36.

The square root of 42485148 is about 6518.0632092670. The cubic root of 42485148 is about 348.9359466249.

The spelling of 42485148 in words is "forty-two million, four hundred eighty-five thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 109 162 218 243 324 327 401 436 486 654 802 972 981 1203 1308 1604 1962 2406 2943 3609 3924 4812 5886 7218 8829 10827 11772 14436 17658 21654 26487 32481 35316 43308 43709 52974 64962 87418 97443 105948 129924 131127 174836 194886 262254 389772 393381 524508 786762 1180143 1573524 2360286 3540429 4720572 7080858 10621287 14161716 21242574 42485148