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42454740 = 223519167223
BaseRepresentation
bin1010000111110…
…0111011010100
32221212220221210
42201330323110
541332022430
64113541420
71023600516
oct241747324
987786853
1042454740
1121a67969
1212274870
138a45c63
1458d1bb6
153ad92b0
hex287ced4

42454740 has 96 divisors (see below), whose sum is σ = 126443520. Its totient is φ = 10613376.

The previous prime is 42454733. The next prime is 42454777. The reversal of 42454740 is 4745424.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 42454698 and 42454707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 190269 + ... + 190491.

It is an arithmetic number, because the mean of its divisors is an integer number (1317120).

Almost surely, 242454740 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 42454740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63221760).

42454740 is an abundant number, since it is smaller than the sum of its proper divisors (83988780).

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

42454740 is a wasteful number, since it uses less digits than its factorization.

42454740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 30.

The square root of 42454740 is about 6515.7301969925. The cubic root of 42454740 is about 348.8526784933.

The spelling of 42454740 in words is "forty-two million, four hundred fifty-four thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 167 190 223 228 285 334 380 446 501 570 668 669 835 892 1002 1115 1140 1338 1670 2004 2230 2505 2676 3173 3340 3345 4237 4460 5010 6346 6690 8474 9519 10020 12692 12711 13380 15865 16948 19038 21185 25422 31730 37241 38076 42370 47595 50844 63460 63555 74482 84740 95190 111723 127110 148964 186205 190380 223446 254220 372410 446892 558615 707579 744820 1117230 1415158 2122737 2234460 2830316 3537895 4245474 7075790 8490948 10613685 14151580 21227370 42454740