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4002528 = 253173241
BaseRepresentation
bin1111010001001011100000
321112100102210
433101023200
52011040103
6221442120
746010115
oct17211340
97470383
104002528
112294182
121410340
13aa1a7a
1476290c
15540e03
hex3d12e0

4002528 has 48 divisors (see below), whose sum is σ = 10611216. Its totient is φ = 1320960.

The previous prime is 4002527. The next prime is 4002547. The reversal of 4002528 is 8252004.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4002527) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16488 + ... + 16728.

It is an arithmetic number, because the mean of its divisors is an integer number (221067).

Almost surely, 24002528 is an apocalyptic number.

4002528 is a gapful number since it is divisible by the number (48) 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 4002528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5305608).

4002528 is an abundant number, since it is smaller than the sum of its proper divisors (6608688).

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

4002528 is a wasteful number, since it uses less digits than its factorization.

4002528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 4002528 is about 2000.6319001755. The cubic root of 4002528 is about 158.7735394032.

The spelling of 4002528 in words is "four million, two thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 173 241 346 482 519 692 723 964 1038 1384 1446 1928 2076 2768 2892 3856 4152 5536 5784 7712 8304 11568 16608 23136 41693 83386 125079 166772 250158 333544 500316 667088 1000632 1334176 2001264 4002528