Search a number
-
+
48297240 = 233251923307
BaseRepresentation
bin1011100000111…
…1010100011000
310100212202100200
42320033110120
544331002430
64443102200
71124343165
oct270172430
9110782320
1048297240
1125298482
1214211960
13a010364
1465b306c
154390460
hex2e0f518

48297240 has 192 divisors, whose sum is σ = 172972800. Its totient is φ = 11632896.

The previous prime is 48297233. The next prime is 48297269. The reversal of 48297240 is 4279284.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 48297195 and 48297204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 157167 + ... + 157473.

It is an arithmetic number, because the mean of its divisors is an integer number (900900).

Almost surely, 248297240 is an apocalyptic number.

48297240 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 48297240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86486400).

48297240 is an abundant number, since it is smaller than the sum of its proper divisors (124675560).

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

48297240 is a wasteful number, since it uses less digits than its factorization.

48297240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 48297240 is about 6949.6215724311. The cubic root of 48297240 is about 364.1727433514.

The spelling of 48297240 in words is "forty-eight million, two hundred ninety-seven thousand, two hundred forty".