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404020872 = 23341075827
BaseRepresentation
bin11000000101001…
…101111010001000
31001011020101110000
4120011031322020
51311412131442
6104031323000
713004056263
oct3005157210
91034211400
10404020872
11198071952
12b3380460
136591b808
143b92dcda
1525709d4c
hex1814de88

404020872 has 80 divisors (see below), whose sum is σ = 1142404560. Its totient is φ = 133392096.

The previous prime is 404020867. The next prime is 404020879. The reversal of 404020872 is 278020404.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (404020879) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 66423 + ... + 72249.

It is an arithmetic number, because the mean of its divisors is an integer number (14280057).

Almost surely, 2404020872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404020872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571202280).

404020872 is an abundant number, since it is smaller than the sum of its proper divisors (738383688).

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

404020872 is a wasteful number, since it uses less digits than its factorization.

404020872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5952 (or 5939 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 404020872 is about 20100.2704459418. The cubic root of 404020872 is about 739.2669097386.

The spelling of 404020872 in words is "four hundred four million, twenty thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 107 108 162 214 216 321 324 428 642 648 856 963 1284 1926 2568 2889 3852 5778 5827 7704 8667 11556 11654 17334 17481 23112 23308 34668 34962 46616 52443 69336 69924 104886 139848 157329 209772 314658 419544 471987 623489 629316 943974 1246978 1258632 1870467 1887948 2493956 3740934 3775896 4987912 5611401 7481868 11222802 14963736 16834203 22445604 33668406 44891208 50502609 67336812 101005218 134673624 202010436 404020872