Search a number
-
+
404251488 = 25321403651
BaseRepresentation
bin11000000110000…
…110001101100000
31001011200002210100
4120012012031200
51311442021423
6104040302400
713006036524
oct3006061540
91034602710
10404251488
1119820a143
12b3471a00
136599c784
143b98dd84
1525753343
hex18186360

404251488 has 36 divisors (see below), whose sum is σ = 1149590988. Its totient is φ = 134750400.

The previous prime is 404251481. The next prime is 404251499. The reversal of 404251488 is 884152404.

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

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404251481) 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, 701538 + ... + 702113.

It is an arithmetic number, because the mean of its divisors is an integer number (31933083).

Almost surely, 2404251488 is an apocalyptic number.

404251488 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

404251488 is an abundant number, since it is smaller than the sum of its proper divisors (745339500).

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

404251488 is a wasteful number, since it uses less digits than its factorization.

404251488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1403667 (or 1403656 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 404251488 is about 20106.0062667851. The cubic root of 404251488 is about 739.4075413757.

It can be divided in two parts, 40 and 4251488, that added together give a cube (4251528 = 1623).

The spelling of 404251488 in words is "four hundred four million, two hundred fifty-one thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1403651 2807302 4210953 5614604 8421906 11229208 12632859 16843812 22458416 25265718 33687624 44916832 50531436 67375248 101062872 134750496 202125744 404251488