Search a number
-
+
1002552 = 233371129
BaseRepresentation
bin11110100110000111000
31212221020120
43310300320
5224040202
633253240
711343615
oct3646070
91787216
101002552
11625261
12404220
13291435
141c150c
1514c0bc
hexf4c38

1002552 has 32 divisors (see below), whose sum is σ = 2576400. Its totient is φ = 324864.

The previous prime is 1002527. The next prime is 1002553. The reversal of 1002552 is 2552001.

1002552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10025522 = 2010221025408, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002553) 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, 324 + ... + 1452.

21002552 is an apocalyptic number.

1002552 is a gapful number since it is divisible by the number (12) 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 1002552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1288200).

1002552 is an abundant number, since it is smaller than the sum of its proper divisors (1573848).

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

1002552 is a wasteful number, since it uses less digits than its factorization.

1002552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1175 (or 1171 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 1002552 is about 1001.2751869491. The cubic root of 1002552 is about 100.0849944057.

Adding to 1002552 its reverse (2552001), we get a palindrome (3554553).

The spelling of 1002552 in words is "one million, two thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 296 444 888 1129 2258 3387 4516 6774 9032 13548 27096 41773 83546 125319 167092 250638 334184 501276 1002552