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42034048 = 277431091
BaseRepresentation
bin1010000001011…
…0001110000000
32221002112212121
42200112032000
541230042143
64100534024
71020166150
oct240261600
987075777
1042034048
11217aa891
12120b1314
138929624
145822760
153a547ed
hex2816380

42034048 has 64 divisors (see below), whose sum is σ = 98017920. Its totient is φ = 17579520.

The previous prime is 42034039. The next prime is 42034051. The reversal of 42034048 is 84043024.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×420340482 = 3533722382532608, which contains 22 as substring.

It is a congruent number.

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, 37983 + ... + 39073.

It is an arithmetic number, because the mean of its divisors is an integer number (1531530).

Almost surely, 242034048 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 42034048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49008960).

42034048 is an abundant number, since it is smaller than the sum of its proper divisors (55983872).

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

42034048 is a wasteful number, since it uses less digits than its factorization.

42034048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1155 (or 1143 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 42034048 is about 6483.3670264763. The cubic root of 42034048 is about 347.6965690826.

The spelling of 42034048 in words is "forty-two million, thirty-four thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 64 86 112 128 172 224 301 344 448 602 688 896 1091 1204 1376 2182 2408 2752 4364 4816 5504 7637 8728 9632 15274 17456 19264 30548 34912 38528 46913 61096 69824 93826 122192 139648 187652 244384 328391 375304 488768 656782 750608 977536 1313564 1501216 2627128 3002432 5254256 6004864 10508512 21017024 42034048