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400076490256 = 241581292
BaseRepresentation
bin1011101001001100110…
…10101100011000010000
31102020200000111110220021
411310212122230120100
523023324040142011
6503443111353224
740622161025452
oct5644632543020
91366600443807
10400076490256
11144742826693
1265654982814
132b95b440051
14155143d42d2
15a6184a7471
hex5d266ac610

400076490256 has 15 divisors (see below), whose sum is σ = 775153101901. Its totient is φ = 200036980096.

The previous prime is 400076490227. The next prime is 400076490259. The reversal of 400076490256 is 652094670004.

It is a happy number.

The square root of 400076490256 is 632516.

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

It can be written as a sum of positive squares in only one way, i.e., 128677168656 + 271399321600 = 358716^2 + 520960^2 .

It is a super-2 number, since 2×4000764902562 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (400076490259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 2451000 + ... + 2609128.

Almost surely, 2400076490256 is an apocalyptic number.

400076490256 is the 632516-th square number.

It is an amenable number.

400076490256 is a deficient number, since it is larger than the sum of its proper divisors (375076611645).

400076490256 is an frugal number, since it uses more digits than its factorization.

400076490256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316266 (or 158131 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 43.

The spelling of 400076490256 in words is "four hundred billion, seventy-six million, four hundred ninety thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 158129 316258 632516 1265032 2530064 25004780641 50009561282 100019122564 200038245128 400076490256