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256143400 = 23524131237
BaseRepresentation
bin11110100010001…
…11000000101000
3122211222102200121
433101013000220
51011033042100
641230013024
76230116522
oct1721070050
9584872617
10256143400
1112164a367
1271947174
13410b3a56
1426038a12
151774951a
hexf447028

256143400 has 48 divisors (see below), whose sum is σ = 610078140. Its totient is φ = 99955200.

The previous prime is 256143397. The next prime is 256143409. The reversal of 256143400 is 4341652.

It can be written as a sum of positive squares in 6 ways, for example, as 76422564 + 179720836 = 8742^2 + 13406^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256143409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7419 + ... + 23818.

Almost surely, 2256143400 is an apocalyptic number.

256143400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256143400 is an abundant number, since it is smaller than the sum of its proper divisors (353934740).

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

256143400 is a wasteful number, since it uses less digits than its factorization.

256143400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31294 (or 31285 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 256143400 is about 16004.4806226257. The cubic root of 256143400 is about 635.0789576730.

The spelling of 256143400 in words is "two hundred fifty-six million, one hundred forty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 164 200 205 328 410 820 1025 1640 2050 4100 8200 31237 62474 124948 156185 249896 312370 624740 780925 1249480 1280717 1561850 2561434 3123700 5122868 6247400 6403585 10245736 12807170 25614340 32017925 51228680 64035850 128071700 256143400