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42030048 = 2532931487
BaseRepresentation
bin1010000001010…
…1001111100000
32221002100101110
42200111033200
541224430143
64100503320
71020151404
oct240251740
987070343
1042030048
11217a7885
12120aab40
138927868
145821104
153a53533
hex28153e0

42030048 has 96 divisors (see below), whose sum is σ = 118056960. Its totient is φ = 13063680.

The previous prime is 42030047. The next prime is 42030089. The reversal of 42030048 is 84003024.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42030047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86061 + ... + 86547.

It is an arithmetic number, because the mean of its divisors is an integer number (1229760).

Almost surely, 242030048 is an apocalyptic number.

42030048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42030048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59028480).

42030048 is an abundant number, since it is smaller than the sum of its proper divisors (76026912).

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

42030048 is a wasteful number, since it uses less digits than its factorization.

42030048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 42030048 is about 6483.0585374497. The cubic root of 42030048 is about 347.6855396873.

The spelling of 42030048 in words is "forty-two million, thirty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 31 32 48 58 62 87 93 96 116 124 174 186 232 248 348 372 464 487 496 696 744 899 928 974 992 1392 1461 1488 1798 1948 2697 2784 2922 2976 3596 3896 5394 5844 7192 7792 10788 11688 14123 14384 15097 15584 21576 23376 28246 28768 30194 42369 43152 45291 46752 56492 60388 84738 86304 90582 112984 120776 169476 181164 225968 241552 338952 362328 437813 451936 483104 677904 724656 875626 1313439 1355808 1449312 1751252 2626878 3502504 5253756 7005008 10507512 14010016 21015024 42030048