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42119172 = 223237103307
BaseRepresentation
bin1010000010101…
…1000000000100
32221020212122100
42200223000010
541240303142
64102432100
71021002264
oct240530004
987225570
1042119172
1121858837
1212132630
1389592b4
1458457a4
153a6eb4c
hex282b004

42119172 has 72 divisors (see below), whose sum is σ = 110766656. Its totient is φ = 13483584.

The previous prime is 42119167. The next prime is 42119201. The reversal of 42119172 is 27191124.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137043 + ... + 137349.

Almost surely, 242119172 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42119172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55383328).

42119172 is an abundant number, since it is smaller than the sum of its proper divisors (68647484).

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

42119172 is a wasteful number, since it uses less digits than its factorization.

42119172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 452 counting only the distinct ones).

The product of its digits is 1008, while the sum is 27.

The square root of 42119172 is about 6489.9285049991. The cubic root of 42119172 is about 347.9311199385.

The spelling of 42119172 in words is "forty-two million, one hundred nineteen thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 103 111 148 206 222 307 309 333 412 444 614 618 666 921 927 1228 1236 1332 1842 1854 2763 3684 3708 3811 5526 7622 11052 11359 11433 15244 22718 22866 31621 34077 34299 45436 45732 63242 68154 68598 94863 102231 126484 136308 137196 189726 204462 284589 379452 408924 569178 1138356 1169977 2339954 3509931 4679908 7019862 10529793 14039724 21059586 42119172