Search a number
-
+
400000000 = 21058
BaseRepresentation
bin10111110101111…
…000010000000000
31000212200002211211
4113311320100000
51304400000000
6103405215504
712624641521
oct2765702000
91025602754
10400000000
11195875a14
12b1b61594
1364b415ba
143b1a4848
15251b37ba
hex17d78400

400000000 has 99 divisors (see below), whose sum is σ = 999511207. Its totient is φ = 160000000.

The previous prime is 399999959. The next prime is 400000009. The reversal of 400000000 is 4.

The square root of 400000000 is 20000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 284394496 + 115605504 = 16864^2 + 10752^2 .

It is an ABA number since it can be written as A⋅BA, here for A=4, B=100.

It is a Harshad number since it is a multiple of its sum of digits (4).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a Duffinian number.

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (400000009) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 79999998 + ... + 80000002.

Almost surely, 2400000000 is an apocalyptic number.

400000000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

400000000 is the 20000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400000000

400000000 is an abundant number, since it is smaller than the sum of its proper divisors (599511207).

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

400000000 is an frugal number, since it uses more digits than its factorization.

400000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 7 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 4.

The cubic root of 400000000 is about 736.8062997281.

The spelling of 400000000 in words is "four hundred million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 625 640 800 1000 1024 1250 1280 1600 2000 2500 2560 3125 3200 4000 5000 5120 6250 6400 8000 10000 12500 12800 15625 16000 20000 25000 25600 31250 32000 40000 50000 62500 64000 78125 80000 100000 125000 128000 156250 160000 200000 250000 312500 320000 390625 400000 500000 625000 640000 781250 800000 1000000 1250000 1562500 1600000 2000000 2500000 3125000 3200000 4000000 5000000 6250000 8000000 10000000 12500000 16000000 20000000 25000000 40000000 50000000 80000000 100000000 200000000 400000000