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48355384 = 23711233413
BaseRepresentation
bin1011100001110…
…1100000111000
310100222201010011
42320131200320
544334333014
64444231304
71125004540
oct270354070
9110881104
1048355384
1125328130
121423b534
13a03096c
1465ca320
1543a27c4
hex2e1d838

48355384 has 64 divisors (see below), whose sum is σ = 117987840. Its totient is φ = 18015360.

The previous prime is 48355369. The next prime is 48355409.

48355384 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12462 + ... + 15874.

It is an arithmetic number, because the mean of its divisors is an integer number (1843560).

Almost surely, 248355384 is an apocalyptic number.

48355384 is a gapful number since it is divisible by the number (44) 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 48355384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58993920).

48355384 is an abundant number, since it is smaller than the sum of its proper divisors (69632456).

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

48355384 is a wasteful number, since it uses less digits than its factorization.

48355384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3460 (or 3456 counting only the distinct ones).

The product of its digits is 230400, while the sum is 40.

The square root of 48355384 is about 6953.8035635183. The cubic root of 48355384 is about 364.3188246355.

The spelling of 48355384 in words is "forty-eight million, three hundred fifty-five thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 11 14 22 23 28 44 46 56 77 88 92 154 161 184 253 308 322 506 616 644 1012 1288 1771 2024 3413 3542 6826 7084 13652 14168 23891 27304 37543 47782 75086 78499 95564 150172 156998 191128 262801 300344 313996 525602 549493 627992 863489 1051204 1098986 1726978 2102408 2197972 3453956 4395944 6044423 6907912 12088846 24177692 48355384