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5256550400 = 21152102667
BaseRepresentation
bin1001110010101000…
…01001100000000000
3111120100010102112212
410321110021200000
541231134103100
62225334041252
7244155640553
oct47124114000
914510112485
105256550400
112258205132
1210284a9228
1365a05596a
1437c1a469a
1520b731635
hex139509800

5256550400 has 72 divisors (see below), whose sum is σ = 13033189260. Its totient is φ = 2102599680.

The previous prime is 5256550363. The next prime is 5256550417. The reversal of 5256550400 is 40556525.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 134 + ... + 102533.

Almost surely, 25256550400 is an apocalyptic number.

5256550400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5256550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6516594630).

5256550400 is an abundant number, since it is smaller than the sum of its proper divisors (7776638860).

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

5256550400 is a wasteful number, since it uses less digits than its factorization.

5256550400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102699 (or 102674 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 32.

The square root of 5256550400 is about 72502.0716945385. The cubic root of 5256550400 is about 1738.7358590067.

The spelling of 5256550400 in words is "five billion, two hundred fifty-six million, five hundred fifty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 512 640 800 1024 1280 1600 2048 2560 3200 5120 6400 10240 12800 25600 51200 102667 205334 410668 513335 821336 1026670 1642672 2053340 2566675 3285344 4106680 5133350 6570688 8213360 10266700 13141376 16426720 20533400 26282752 32853440 41066800 52565504 65706880 82133600 105131008 131413760 164267200 210262016 262827520 328534400 525655040 657068800 1051310080 1314137600 2628275200 5256550400