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48118440 = 23352811427
BaseRepresentation
bin1011011110001…
…1101010101000
310100112200002110
42313203222220
544304242230
64435202320
71122666666
oct267435250
9110480073
1048118440
1125186107
12141463a0
139c79b66
146567c36
1543574b0
hex2de3aa8

48118440 has 64 divisors (see below), whose sum is σ = 144970560. Its totient is φ = 12776960.

The previous prime is 48118423. The next prime is 48118481. The reversal of 48118440 is 4481184.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a plaindrome in base 7.

It is a zygodrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 48118398 and 48118407.

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, 33007 + ... + 34433.

It is an arithmetic number, because the mean of its divisors is an integer number (2265165).

Almost surely, 248118440 is an apocalyptic number.

48118440 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 48118440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72485280).

48118440 is an abundant number, since it is smaller than the sum of its proper divisors (96852120).

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

48118440 is a wasteful number, since it uses less digits than its factorization.

48118440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1722 (or 1718 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 48118440 is about 6936.7456346618. The cubic root of 48118440 is about 363.7227893817.

The spelling of 48118440 in words is "forty-eight million, one hundred eighteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 281 562 843 1124 1405 1427 1686 2248 2810 2854 3372 4215 4281 5620 5708 6744 7135 8430 8562 11240 11416 14270 16860 17124 21405 28540 33720 34248 42810 57080 85620 171240 400987 801974 1202961 1603948 2004935 2405922 3207896 4009870 4811844 6014805 8019740 9623688 12029610 16039480 24059220 48118440