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42767670 = 23511192359
BaseRepresentation
bin1010001100100…
…1010100110110
32222110211012210
42203021110312
541422031140
64124354250
71026343041
oct243112466
988424183
1042767670
1122160a90
12123a5986
138b2551a
145973c58
153b4bd80
hex28c9536

42767670 has 96 divisors (see below), whose sum is σ = 118506240. Its totient is φ = 9794880.

The previous prime is 42767653. The next prime is 42767713. The reversal of 42767670 is 7676724.

It is a happy number.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 118951 + ... + 119309.

It is an arithmetic number, because the mean of its divisors is an integer number (1234440).

Almost surely, 242767670 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42767670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59253120).

42767670 is an abundant number, since it is smaller than the sum of its proper divisors (75738570).

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

42767670 is a wasteful number, since it uses less digits than its factorization.

42767670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 39.

The square root of 42767670 is about 6539.6995343823. The cubic root of 42767670 is about 349.7077015365.

The spelling of 42767670 in words is "forty-two million, seven hundred sixty-seven thousand, six hundred seventy".

Divisors: 1 2 3 5 6 10 11 15 19 22 30 33 38 55 57 66 95 110 114 165 190 209 285 330 359 361 418 570 627 718 722 1045 1077 1083 1254 1795 1805 2090 2154 2166 3135 3590 3610 3949 3971 5385 5415 6270 6821 7898 7942 10770 10830 11847 11913 13642 19745 19855 20463 23694 23826 34105 39490 39710 40926 59235 59565 68210 75031 102315 118470 119130 129599 150062 204630 225093 259198 375155 388797 450186 647995 750310 777594 1125465 1295990 1425589 1943985 2250930 2851178 3887970 4276767 7127945 8553534 14255890 21383835 42767670