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42119352 = 23341119311
BaseRepresentation
bin1010000010101…
…1000010111000
32221020212220000
42200223002320
541240304402
64102433000
71021002642
oct240530270
987225800
1042119352
1121858990
1212132760
1389593c2
145845892
153a6ec1c
hex282b0b8

42119352 has 160 divisors (see below), whose sum is σ = 135907200. Its totient is φ = 12052800.

The previous prime is 42119351. The next prime is 42119369. The reversal of 42119352 is 25391124.

42119352 is a `hidden beast` number, since 421 + 193 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42119351) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 135277 + ... + 135587.

It is an arithmetic number, because the mean of its divisors is an integer number (849420).

Almost surely, 242119352 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 42119352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67953600).

42119352 is an abundant number, since it is smaller than the sum of its proper divisors (93787848).

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

42119352 is a wasteful number, since it uses less digits than its factorization.

42119352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 346 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 42119352 is about 6489.9423726255. The cubic root of 42119352 is about 347.9316155759.

The spelling of 42119352 in words is "forty-two million, one hundred nineteen thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 19 22 24 27 33 36 38 44 54 57 66 72 76 81 88 99 108 114 132 152 162 171 198 209 216 228 264 297 311 324 342 396 418 456 513 594 622 627 648 684 792 836 891 933 1026 1188 1244 1254 1368 1539 1672 1782 1866 1881 2052 2376 2488 2508 2799 3078 3421 3564 3732 3762 4104 5016 5598 5643 5909 6156 6842 7128 7464 7524 8397 10263 11196 11286 11818 12312 13684 15048 16794 16929 17727 20526 22392 22572 23636 25191 27368 30789 33588 33858 35454 41052 45144 47272 50382 53181 61578 64999 67176 67716 70908 82104 92367 100764 106362 123156 129998 135432 141816 159543 184734 194997 201528 212724 246312 259996 277101 319086 369468 389994 425448 478629 519992 554202 584991 638172 738936 779988 957258 1108404 1169982 1276344 1559976 1754973 1914516 2216808 2339964 3509946 3829032 4679928 5264919 7019892 10529838 14039784 21059676 42119352