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8002404 = 2232222289
BaseRepresentation
bin11110100001101101100100
3120001120020100
4132201231210
54022034104
6443304100
7125006424
oct36415544
916046210
108002404
114576363
12281b030
131872567
1410c4484
15a81139
hex7a1b64

8002404 has 18 divisors (see below), whose sum is σ = 20228390. Its totient is φ = 2667456.

The previous prime is 8002399. The next prime is 8002409. The reversal of 8002404 is 4042008.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8002399) and next prime (8002409).

It can be written as a sum of positive squares in only one way, i.e., 6260004 + 1742400 = 2502^2 + 1320^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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

It is not an unprimeable number, because it can be changed into a prime (8002409) 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, 111109 + ... + 111180.

Almost surely, 28002404 is an apocalyptic number.

It is an amenable number.

8002404 is an abundant number, since it is smaller than the sum of its proper divisors (12225986).

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

8002404 is a wasteful number, since it uses less digits than its factorization.

8002404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222299 (or 222294 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 8002404 is about 2828.8520640005. The cubic root of 8002404 is about 200.0200313270.

The spelling of 8002404 in words is "eight million, two thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 222289 444578 666867 889156 1333734 2000601 2667468 4001202 8002404