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48047148 = 223331113127
BaseRepresentation
bin1011011101001…
…0010000101100
310100102001022000
42313102100230
544300002043
64433452300
71122252102
oct267222054
9110361260
1048047148
1125137596
1214111090
139c53586
146549c72
1543412d3
hex2dd242c

48047148 has 96 divisors (see below), whose sum is σ = 130744320. Its totient is φ = 15240960.

The previous prime is 48047099. The next prime is 48047159. The reversal of 48047148 is 84174084.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 378261 + ... + 378387.

It is an arithmetic number, because the mean of its divisors is an integer number (1361920).

Almost surely, 248047148 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 48047148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65372160).

48047148 is an abundant number, since it is smaller than the sum of its proper divisors (82697172).

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

48047148 is a wasteful number, since it uses less digits than its factorization.

48047148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 48047148 is about 6931.6050089427. The cubic root of 48047148 is about 363.5430707415.

The spelling of 48047148 in words is "forty-eight million, forty-seven thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 108 113 124 127 186 226 254 279 339 372 381 452 508 558 678 762 837 1017 1116 1143 1356 1524 1674 2034 2286 3051 3348 3429 3503 3937 4068 4572 6102 6858 7006 7874 10509 11811 12204 13716 14012 14351 15748 21018 23622 28702 31527 35433 42036 43053 47244 57404 63054 70866 86106 94581 106299 126108 129159 141732 172212 189162 212598 258318 378324 387477 425196 444881 516636 774954 889762 1334643 1549908 1779524 2669286 4003929 5338572 8007858 12011787 16015716 24023574 48047148