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42798048 = 2533712049
BaseRepresentation
bin1010001101000…
…0101111100000
32222112100212220
42203100233200
541424014143
64125151040
71026530436
oct243205740
988470786
1042798048
1122181897
12123bb480
138b362b7
145980d56
153b55d83
hex28d0be0

42798048 has 48 divisors (see below), whose sum is σ = 115390800. Its totient is φ = 13879296.

The previous prime is 42798023. The next prime is 42798071. The reversal of 42798048 is 84089724.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×427980482 = 3663345825220608, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2473 + ... + 9576.

It is an arithmetic number, because the mean of its divisors is an integer number (2403975).

Almost surely, 242798048 is an apocalyptic number.

42798048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

42798048 is an abundant number, since it is smaller than the sum of its proper divisors (72592752).

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

42798048 is a wasteful number, since it uses less digits than its factorization.

42798048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12099 (or 12091 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 42798048 is about 6542.0217058643. The cubic root of 42798048 is about 349.7904814048.

The spelling of 42798048 in words is "forty-two million, seven hundred ninety-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 888 1184 1776 3552 12049 24098 36147 48196 72294 96392 144588 192784 289176 385568 445813 578352 891626 1156704 1337439 1783252 2674878 3566504 5349756 7133008 10699512 14266016 21399024 42798048