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4045152 = 253291453
BaseRepresentation
bin1111011011100101100000
321121111220110
433123211200
52013421102
6222411320
746245306
oct17334540
97544813
104045152
112313201
121430b40
13ab82a7
14774276
1554d86c
hex3db960

4045152 has 48 divisors (see below), whose sum is σ = 10992240. Its totient is φ = 1300992.

The previous prime is 4045147. The next prime is 4045163. The reversal of 4045152 is 2515404.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2058 + ... + 3510.

It is an arithmetic number, because the mean of its divisors is an integer number (229005).

Almost surely, 24045152 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 4045152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5496120).

4045152 is an abundant number, since it is smaller than the sum of its proper divisors (6947088).

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

4045152 is a wasteful number, since it uses less digits than its factorization.

4045152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1495 (or 1487 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 4045152 is about 2011.2563237937. The cubic root of 4045152 is about 159.3351578992.

The spelling of 4045152 in words is "four million, forty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 928 1392 1453 2784 2906 4359 5812 8718 11624 17436 23248 34872 42137 46496 69744 84274 126411 139488 168548 252822 337096 505644 674192 1011288 1348384 2022576 4045152