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1008252 = 223274001
BaseRepresentation
bin11110110001001111100
31220020001200
43312021330
5224231002
633335500
711366340
oct3661174
91806050
101008252
11629573
12407590
13293bcb
141c3620
1514db1c
hexf627c

1008252 has 36 divisors (see below), whose sum is σ = 2913456. Its totient is φ = 288000.

The previous prime is 1008247. The next prime is 1008257. The reversal of 1008252 is 2528001.

It is an interprime number because it is at equal distance from previous prime (1008247) and next prime (1008257).

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1008257) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1749 + ... + 2252.

21008252 is an apocalyptic number.

1008252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1008252 is an abundant number, since it is smaller than the sum of its proper divisors (1905204).

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

1008252 is a wasteful number, since it uses less digits than its factorization.

1008252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4018 (or 4013 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 1008252 is about 1004.1175230022. The cubic root of 1008252 is about 100.2743134997.

It can be divided in two parts, 1008 and 252, that multiplied together give a square (254016 = 5042).

The spelling of 1008252 in words is "one million, eight thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 4001 8002 12003 16004 24006 28007 36009 48012 56014 72018 84021 112028 144036 168042 252063 336084 504126 1008252