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3889152 = 21132211
BaseRepresentation
bin1110110101100000000000
321022120220200
432311200000
51443423102
6215205200
745025431
oct16654000
97276820
103889152
112216a83
121376800
13a62297
14733488
1551c51c
hex3b5800

3889152 has 72 divisors (see below), whose sum is σ = 11285820. Its totient is φ = 1290240.

The previous prime is 3889079. The next prime is 3889157. The reversal of 3889152 is 2519883.

It is a tau number, because it is divible by the number of its divisors (72).

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

Its product of digits (17280) is a multiple of the sum of its prime divisors (216).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3889157) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18327 + ... + 18537.

Almost surely, 23889152 is an apocalyptic number.

3889152 is a gapful number since it is divisible by the number (32) 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 3889152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5642910).

3889152 is an abundant number, since it is smaller than the sum of its proper divisors (7396668).

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

3889152 is a wasteful number, since it uses less digits than its factorization.

3889152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 216 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 3889152 is about 1972.0933040807. The cubic root of 3889152 is about 157.2600124383.

The spelling of 3889152 in words is "three million, eight hundred eighty-nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 211 256 288 384 422 512 576 633 768 844 1024 1152 1266 1536 1688 1899 2048 2304 2532 3072 3376 3798 4608 5064 6144 6752 7596 9216 10128 13504 15192 18432 20256 27008 30384 40512 54016 60768 81024 108032 121536 162048 216064 243072 324096 432128 486144 648192 972288 1296384 1944576 3889152