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39156096 = 273722081
BaseRepresentation
bin1001010101011…
…1100110000000
32201200100001210
42111113212000
540010443341
63515130120
7653551500
oct225274600
981610053
1039156096
1120114611
1211143940
13815c6b5
1452b3a00
153686c16
hex2557980

39156096 has 96 divisors (see below), whose sum is σ = 121047480. Its totient is φ = 11182080.

The previous prime is 39156079. The next prime is 39156121. The reversal of 39156096 is 69065193.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×391560962 = 3066399707922432, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 17776 + ... + 19856.

Almost surely, 239156096 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 39156096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60523740).

39156096 is an abundant number, since it is smaller than the sum of its proper divisors (81891384).

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

39156096 is a wasteful number, since it uses less digits than its factorization.

39156096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2112 (or 2093 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 39.

The square root of 39156096 is about 6257.4832001373. The cubic root of 39156096 is about 339.5729817948.

It can be divided in two parts, 3915 and 6096, that added together give a triangular number (10011 = T141).

The spelling of 39156096 in words is "thirty-nine million, one hundred fifty-six thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 294 336 384 392 448 588 672 784 896 1176 1344 1568 2081 2352 2688 3136 4162 4704 6243 6272 8324 9408 12486 14567 16648 18816 24972 29134 33296 43701 49944 58268 66592 87402 99888 101969 116536 133184 174804 199776 203938 233072 266368 305907 349608 399552 407876 466144 611814 699216 799104 815752 932288 1223628 1398432 1631504 1864576 2447256 2796864 3263008 4894512 5593728 6526016 9789024 13052032 19578048 39156096