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42119328 = 2533114153
BaseRepresentation
bin1010000010101…
…1000010100000
32221020212212010
42200223002200
541240304303
64102432520
71021002606
oct240530240
987225763
1042119328
1121858969
1212132740
1389593a4
145845876
153a6ec03
hex282b0a0

42119328 has 48 divisors (see below), whose sum is σ = 114137856. Its totient is φ = 13585920.

The previous prime is 42119327. The next prime is 42119351. The reversal of 42119328 is 82391124.

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

It is a junction number, because it is equal to n+sod(n) for n = 42119295 and 42119304.

It is not an unprimeable number, because it can be changed into a prime (42119327) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4101 + ... + 10052.

It is an arithmetic number, because the mean of its divisors is an integer number (2377872).

Almost surely, 242119328 is an apocalyptic number.

42119328 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

42119328 is an abundant number, since it is smaller than the sum of its proper divisors (72018528).

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

42119328 is a wasteful number, since it uses less digits than its factorization.

42119328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14197 (or 14189 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 42119328 is about 6489.9405236104. The cubic root of 42119328 is about 347.9315494910.

The spelling of 42119328 in words is "forty-two million, one hundred nineteen thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 14153 28306 42459 56612 84918 113224 169836 226448 339672 438743 452896 679344 877486 1316229 1358688 1754972 2632458 3509944 5264916 7019888 10529832 14039776 21059664 42119328