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48395453400 = 23335276797197
BaseRepresentation
bin101101000100100110…
…000000001111011000
311121220202120202111000
4231010212000033120
51243103214002100
634122122305000
73332166365220
oct550446001730
9147822522430
1048395453400
1119584a76488
129467658160
134743504678
1424b15b5080
1513d3a98900
hexb449803d8

48395453400 has 768 divisors, whose sum is σ = 196337433600. Its totient is φ = 10729635840.

The previous prime is 48395453387. The next prime is 48395453461. The reversal of 48395453400 is 435459384.

48395453400 is a `hidden beast` number, since 48 + 39 + 545 + 34 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 245662102 + ... + 245662298.

It is an arithmetic number, because the mean of its divisors is an integer number (255647700).

Almost surely, 248395453400 is an apocalyptic number.

48395453400 is a gapful number since it is divisible by the number (40) 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 48395453400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98168716800).

48395453400 is an abundant number, since it is smaller than the sum of its proper divisors (147941980200).

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

48395453400 is a wasteful number, since it uses less digits than its factorization.

48395453400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 48395453400 in words is "forty-eight billion, three hundred ninety-five million, four hundred fifty-three thousand, four hundred".