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38189952 = 273233151
BaseRepresentation
bin1001000110101…
…1101110000000
32122212020202200
42101223232000
534234034302
63442313200
7642415653
oct221535600
978766680
1038189952
111a614749
1210958800
137bb1a08
14510189a
15354581c
hex246bb80

38189952 has 48 divisors (see below), whose sum is σ = 109898880. Its totient is φ = 12729600.

The previous prime is 38189951. The next prime is 38189969. The reversal of 38189952 is 25998183.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 38189898 and 38189907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38189951) 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 5 ways as a sum of consecutive naturals, for example, 15424 + ... + 17727.

It is an arithmetic number, because the mean of its divisors is an integer number (2289560).

Almost surely, 238189952 is an apocalyptic number.

38189952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

38189952 is an abundant number, since it is smaller than the sum of its proper divisors (71708928).

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

38189952 is a wasteful number, since it uses less digits than its factorization.

38189952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33171 (or 33156 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The square root of 38189952 is about 6179.8019385738. The cubic root of 38189952 is about 336.7567975308.

The spelling of 38189952 in words is "thirty-eight million, one hundred eighty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 33151 66302 99453 132604 198906 265208 298359 397812 530416 596718 795624 1060832 1193436 1591248 2121664 2386872 3182496 4243328 4773744 6364992 9547488 12729984 19094976 38189952