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42195156 = 223172233
BaseRepresentation
bin1010000011110…
…1100011010100
32221101201212120
42200331203110
541300221111
64104215540
71021436643
oct240754324
987351776
1042195156
11218aa933
121216a5b0
138984a63
14586535a
153a87406
hex283d8d4

42195156 has 72 divisors (see below), whose sum is σ = 109341120. Its totient is φ = 12662144.

The previous prime is 42195151. The next prime is 42195157. The reversal of 42195156 is 65159124.

Its product of digits (10800) is a multiple of the sum of its prime divisors (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42195151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1834561 + ... + 1834583.

Almost surely, 242195156 is an apocalyptic number.

42195156 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42195156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54670560).

42195156 is an abundant number, since it is smaller than the sum of its proper divisors (67145964).

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

42195156 is a wasteful number, since it uses less digits than its factorization.

42195156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 45 counting only the distinct ones).

The product of its digits is 10800, while the sum is 33.

The square root of 42195156 is about 6495.7798608019. The cubic root of 42195156 is about 348.1402196200.

The spelling of 42195156 in words is "forty-two million, one hundred ninety-five thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 12 17 23 34 46 51 68 69 92 102 138 204 276 289 391 529 578 782 867 1058 1156 1173 1564 1587 1734 2116 2346 3174 3468 4692 6348 6647 8993 12167 13294 17986 19941 24334 26588 26979 35972 36501 39882 48668 53958 73002 79764 107916 146004 152881 206839 305762 413678 458643 611524 620517 827356 917286 1241034 1834572 2482068 3516263 7032526 10548789 14065052 21097578 42195156