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48200040 = 23325731617
BaseRepresentation
bin1011011111011…
…1100101101000
310100200211000200
42313313211220
544314400130
64441032200
71123456620
oct267674550
9110624020
1048200040
1125231449
1214185660
139ca8045
146589880
154371760
hex2df7968

48200040 has 192 divisors, whose sum is σ = 185103360. Its totient is φ = 10644480.

The previous prime is 48200029. The next prime is 48200063. The reversal of 48200040 is 4000284.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 48199986 and 48200022.

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, 77812 + ... + 78428.

It is an arithmetic number, because the mean of its divisors is an integer number (964080).

Almost surely, 248200040 is an apocalyptic number.

48200040 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 48200040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92551680).

48200040 is an abundant number, since it is smaller than the sum of its proper divisors (136903320).

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

48200040 is a wasteful number, since it uses less digits than its factorization.

48200040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 48200040 is about 6942.6248638393. The cubic root of 48200040 is about 363.9282755270.

The spelling of 48200040 in words is "forty-eight million, two hundred thousand, forty".