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42793248 = 2532319381
BaseRepresentation
bin1010001100111…
…1100100100000
32222112010022010
42203033210200
541423340443
64125112520
71026510441
oct243174440
988463263
1042793248
1122179223
12123b8740
138b34064
14597d2c8
153b54733
hex28cf920

42793248 has 48 divisors (see below), whose sum is σ = 117222336. Its totient is φ = 13643520.

The previous prime is 42793243. The next prime is 42793277. The reversal of 42793248 is 84239724.

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

It is not an unprimeable number, because it can be changed into a prime (42793243) by changing a digit.

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, 7483 + ... + 11898.

It is an arithmetic number, because the mean of its divisors is an integer number (2442132).

Almost surely, 242793248 is an apocalyptic number.

42793248 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

42793248 is an abundant number, since it is smaller than the sum of its proper divisors (74429088).

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

42793248 is a wasteful number, since it uses less digits than its factorization.

42793248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19417 (or 19409 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The square root of 42793248 is about 6541.6548365073. The cubic root of 42793248 is about 349.7774040398. Note that the first 3 decimals are identical.

The spelling of 42793248 in words is "forty-two million, seven hundred ninety-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 1104 2208 19381 38762 58143 77524 116286 155048 232572 310096 445763 465144 620192 891526 930288 1337289 1783052 1860576 2674578 3566104 5349156 7132208 10698312 14264416 21396624 42793248