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39134172 = 223711411033
BaseRepresentation
bin1001010101001…
…0001111011100
32201122012222210
42111102033130
540004243142
63514440420
7653430540
oct225221734
981565883
1039134172
11200aa0a0
1211133110
13815271c
1452a9a20
15368049c
hex25523dc

39134172 has 96 divisors (see below), whose sum is σ = 116734464. Its totient is φ = 9907200.

The previous prime is 39134159. The next prime is 39134189. The reversal of 39134172 is 27143193.

39134172 = T43 + T44 + ... + T616.

39134172 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37368 + ... + 38400.

It is an arithmetic number, because the mean of its divisors is an integer number (1215984).

Almost surely, 239134172 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 39134172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58367232).

39134172 is an abundant number, since it is smaller than the sum of its proper divisors (77600292).

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

39134172 is a wasteful number, since it uses less digits than its factorization.

39134172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1099 (or 1097 counting only the distinct ones).

The product of its digits is 4536, while the sum is 30.

The square root of 39134172 is about 6255.7311323298. The cubic root of 39134172 is about 339.5095928743.

The spelling of 39134172 in words is "thirty-nine million, one hundred thirty-four thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 41 42 44 66 77 82 84 123 132 154 164 231 246 287 308 451 462 492 574 861 902 924 1033 1148 1353 1722 1804 2066 2706 3099 3157 3444 4132 5412 6198 6314 7231 9471 11363 12396 12628 14462 18942 21693 22726 28924 34089 37884 42353 43386 45452 68178 79541 84706 86772 127059 136356 159082 169412 238623 254118 296471 318164 465883 477246 508236 592942 889413 931766 954492 1185884 1397649 1778826 1863532 2795298 3261181 3557652 5590596 6522362 9783543 13044724 19567086 39134172