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42179676 = 223711191239
BaseRepresentation
bin1010000011100…
…1110001011100
32221100221122020
42200321301130
541244222201
64104020140
71021343550
oct240716134
987327566
1042179676
112189a240
1212161650
13897a9b6
14585d860
153a82a36
hex2839c5c

42179676 has 96 divisors (see below), whose sum is σ = 123863040. Its totient is φ = 10852800.

The previous prime is 42179671. The next prime is 42179699. The reversal of 42179676 is 67697124.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42179671) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 176365 + ... + 176603.

It is an arithmetic number, because the mean of its divisors is an integer number (1290240).

Almost surely, 242179676 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 42179676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61931520).

42179676 is an abundant number, since it is smaller than the sum of its proper divisors (81683364).

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

42179676 is a wasteful number, since it uses less digits than its factorization.

42179676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 453 counting only the distinct ones).

The product of its digits is 127008, while the sum is 42.

The square root of 42179676 is about 6494.5882086550. The cubic root of 42179676 is about 348.0976407217.

The spelling of 42179676 in words is "forty-two million, one hundred seventy-nine thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 191 231 239 308 382 462 478 573 717 764 924 956 1146 1337 1434 1673 2101 2292 2629 2674 2868 3346 4011 4202 5019 5258 5348 6303 6692 7887 8022 8404 10038 10516 12606 14707 15774 16044 18403 20076 25212 29414 31548 36806 44121 45649 55209 58828 73612 88242 91298 110418 136947 176484 182596 220836 273894 319543 502139 547788 639086 958629 1004278 1278172 1506417 1917258 2008556 3012834 3514973 3834516 6025668 7029946 10544919 14059892 21089838 42179676