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42167304 = 2335109199
BaseRepresentation
bin1010000011011…
…0110000001000
32221100022200000
42200312300020
541243323204
64103443000
71021262514
oct240666010
987308600
1042167304
1121890a13
1212156460
13897518a
145859144
153a7e039
hex2836c08

42167304 has 96 divisors (see below), whose sum is σ = 120120000. Its totient is φ = 13856832.

The previous prime is 42167299. The next prime is 42167317. The reversal of 42167304 is 40376124.

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

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 211797 + ... + 211995.

It is an arithmetic number, because the mean of its divisors is an integer number (1251250).

Almost surely, 242167304 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 42167304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60060000).

42167304 is an abundant number, since it is smaller than the sum of its proper divisors (77952696).

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

42167304 is a wasteful number, since it uses less digits than its factorization.

42167304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 42167304 is about 6493.6356534687. The cubic root of 42167304 is about 348.0636031191.

The spelling of 42167304 in words is "forty-two million, one hundred sixty-seven thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 109 162 199 216 218 243 324 327 398 436 486 597 648 654 796 872 972 981 1194 1308 1592 1791 1944 1962 2388 2616 2943 3582 3924 4776 5373 5886 7164 7848 8829 10746 11772 14328 16119 17658 21492 21691 23544 26487 32238 35316 42984 43382 48357 52974 64476 65073 70632 86764 96714 105948 128952 130146 173528 193428 195219 211896 260292 386856 390438 520584 585657 780876 1171314 1561752 1756971 2342628 3513942 4685256 5270913 7027884 10541826 14055768 21083652 42167304