[go: up one dir, main page]

Search a number
-
+
48461400 = 2332521319109
BaseRepresentation
bin1011100011011…
…1011001011000
310101012002112200
42320313121120
544401231100
64450410200
71125625611
oct270673130
9111162480
1048461400
112539a849
1214290960
13a069cb0
146616c08
1543c3e00
hex2e37658

48461400 has 288 divisors, whose sum is σ = 186186000. Its totient is φ = 11197440.

The previous prime is 48461363. The next prime is 48461417. The reversal of 48461400 is 416484.

48461400 is a `hidden beast` number, since 48 + 4 + 614 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 444546 + ... + 444654.

Almost surely, 248461400 is an apocalyptic number.

48461400 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 48461400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93093000).

48461400 is an abundant number, since it is smaller than the sum of its proper divisors (137724600).

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

48461400 is a wasteful number, since it uses less digits than its factorization.

48461400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 48461400 is about 6961.4222684736. The cubic root of 48461400 is about 364.5848786510.

Adding to 48461400 its reverse (416484), we get a palindrome (48877884).

The spelling of 48461400 in words is "forty-eight million, four hundred sixty-one thousand, four hundred".