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48592055400 = 23352731721943
BaseRepresentation
bin101101010000010011…
…111110110001101000
311122102110112011201120
4231100103332301220
51244004031233100
634153424215240
73340104441000
oct552023766150
9148373464646
1048592055400
1119675a48479
12950146a520
13477516c105
1424cd751000
1513e5e810a0
hexb504fec68

48592055400 has 1152 divisors, whose sum is σ = 200999040000. Its totient is φ = 9672929280.

The previous prime is 48592055387. The next prime is 48592055401. The reversal of 48592055400 is 455029584.

48592055400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×485920554002 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48592055401) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1130047779 + ... + 1130047821.

Almost surely, 248592055400 is an apocalyptic number.

48592055400 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 48592055400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100499520000).

48592055400 is an abundant number, since it is smaller than the sum of its proper divisors (152406984600).

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

48592055400 is a wasteful number, since it uses less digits than its factorization.

48592055400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 42.

It can be divided in two parts, 485920 and 55400, that added together give a triangular number (541320 = T1040).

The spelling of 48592055400 in words is "forty-eight billion, five hundred ninety-two million, fifty-five thousand, four hundred".