Search a number
-
+
42979560 = 23351327551
BaseRepresentation
bin1010001111110…
…1000011101000
32222212120212120
42203331003220
542000321220
64133111240
71031214561
oct243750350
988776776
1042979560
11222961a8
1212488520
138b9aac0
1459cb168
153b8ea40
hex28fd0e8

42979560 has 64 divisors (see below), whose sum is σ = 138862080. Its totient is φ = 10579200.

The previous prime is 42979543. The next prime is 42979561. The reversal of 42979560 is 6597924.

42979560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (42979561) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 12216 + ... + 15335.

It is an arithmetic number, because the mean of its divisors is an integer number (2169720).

Almost surely, 242979560 is an apocalyptic number.

42979560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42979560 is an abundant number, since it is smaller than the sum of its proper divisors (95882520).

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

42979560 is a wasteful number, since it uses less digits than its factorization.

42979560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27578 (or 27574 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 42979560 is about 6555.8798036572. The cubic root of 42979560 is about 350.2842860341.

The spelling of 42979560 in words is "forty-two million, nine hundred seventy-nine thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 27551 55102 82653 110204 137755 165306 220408 275510 330612 358163 413265 551020 661224 716326 826530 1074489 1102040 1432652 1653060 1790815 2148978 2865304 3306120 3581630 4297956 5372445 7163260 8595912 10744890 14326520 21489780 42979560