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42693156 = 2236114
BaseRepresentation
bin1010001011011…
…1001000100100
32222100001000000
42202313020210
541412140111
64123021300
71025612562
oct242671044
988301000
1042693156
1122110000
121236a830
138aca62c
145954a32
153b34c56
hex28b7224

42693156 has 105 divisors (see below), whose sum is σ = 123219355. Its totient is φ = 12937320.

The previous prime is 42693151. The next prime is 42693163. The reversal of 42693156 is 65139624.

It is a happy number.

The square root of 42693156 is 6534.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

Its product of digits (38880) is a multiple of the sum of its prime divisors (16).

It is a nialpdrome in base 11.

It is a zygodrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 42693156.

It is not an unprimeable number, because it can be changed into a prime (42693151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 34 ways as a sum of consecutive naturals, for example, 3881191 + ... + 3881201.

Almost surely, 242693156 is an apocalyptic number.

42693156 is the 6534-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42693156

42693156 is an abundant number, since it is smaller than the sum of its proper divisors (80526199).

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

42693156 is an frugal number, since it uses more digits than its factorization.

42693156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 16 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The cubic root of 42693156 is about 349.5044851973.

Multiplying 42693156 by its sum of digits (36), we get a 4-th power (1536953616 = 1984).

42693156 divided by its sum of digits (36) gives a 4-th power (1185921 = 334).

It can be divided in two parts, 42693 and 156, that added together give a square (42849 = 2072).

The spelling of 42693156 in words is "forty-two million, six hundred ninety-three thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 121 132 162 198 242 243 297 324 363 396 484 486 594 726 729 891 972 1089 1188 1331 1452 1458 1782 2178 2662 2673 2916 3267 3564 3993 4356 5324 5346 6534 7986 8019 9801 10692 11979 13068 14641 15972 16038 19602 23958 29282 29403 32076 35937 39204 43923 47916 58564 58806 71874 87846 88209 107811 117612 131769 143748 175692 176418 215622 263538 323433 352836 395307 431244 527076 646866 790614 970299 1185921 1293732 1581228 1940598 2371842 3557763 3881196 4743684 7115526 10673289 14231052 21346578 42693156