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48144140 = 22511534129
BaseRepresentation
bin1011011110100…
…1111100001100
310100120222100022
42313221330030
544311103030
64435521312
71123134632
oct267517414
9110528308
1048144140
11251a3450
1214159238
139c88775
146573352
15435ede5
hex2de9f0c

48144140 has 48 divisors (see below), whose sum is σ = 112402080. Its totient is φ = 17172480.

The previous prime is 48144137. The next prime is 48144149. The reversal of 48144140 is 4144184.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (48144149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9596 + ... + 13724.

It is an arithmetic number, because the mean of its divisors is an integer number (2341710).

Almost surely, 248144140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48144140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56201040).

48144140 is an abundant number, since it is smaller than the sum of its proper divisors (64257940).

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

48144140 is a wasteful number, since it uses less digits than its factorization.

48144140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4202 (or 4200 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

The square root of 48144140 is about 6938.5978410627. The cubic root of 48144140 is about 363.7875324891.

It can be divided in two parts, 48144 and 140, that added together give a palindrome (48284).

The spelling of 48144140 in words is "forty-eight million, one hundred forty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 53 55 106 110 212 220 265 530 583 1060 1166 2332 2915 4129 5830 8258 11660 16516 20645 41290 45419 82580 90838 181676 218837 227095 437674 454190 875348 908380 1094185 2188370 2407207 4376740 4814414 9628828 12036035 24072070 48144140