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42793680 = 2435178307
BaseRepresentation
bin1010001100111…
…1101011010000
32222112010220010
42203033223100
541423344210
64125114520
71026511626
oct243175320
988463803
1042793680
1122179586
12123b8a40
138b34307
14597d516
153b54920
hex28cfad0

42793680 has 40 divisors (see below), whose sum is σ = 132661152. Its totient is φ = 11411584.

The previous prime is 42793669. The next prime is 42793691. The reversal of 42793680 is 8639724.

42793680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42793669) and next prime (42793691).

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88914 + ... + 89393.

Almost surely, 242793680 is an apocalyptic number.

42793680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42793680 is an abundant number, since it is smaller than the sum of its proper divisors (89867472).

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

42793680 is a wasteful number, since it uses less digits than its factorization.

42793680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178323 (or 178317 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 42793680 is about 6541.6878555920. The cubic root of 42793680 is about 349.7785810427.

The spelling of 42793680 in words is "forty-two million, seven hundred ninety-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 178307 356614 534921 713228 891535 1069842 1426456 1783070 2139684 2674605 2852912 3566140 4279368 5349210 7132280 8558736 10698420 14264560 21396840 42793680