Search a number
-
+
48668148 = 22332941379
BaseRepresentation
bin1011100110100…
…1110111110100
310101120121011000
42321221313310
544424340043
64455043300
71130446434
oct271516764
9111517130
1048668148
1125521111
1214370530
13a110129
14666c2c4
1544152d3
hex2e69df4

48668148 has 96 divisors (see below), whose sum is σ = 134064000. Its totient is φ = 15240960.

The previous prime is 48668117. The next prime is 48668149. The reversal of 48668148 is 84186684.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48668149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128223 + ... + 128601.

It is an arithmetic number, because the mean of its divisors is an integer number (1396500).

Almost surely, 248668148 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 48668148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67032000).

48668148 is an abundant number, since it is smaller than the sum of its proper divisors (85395852).

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

48668148 is a wasteful number, since it uses less digits than its factorization.

48668148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 454 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 48668148 is about 6976.2560159444. The cubic root of 48668148 is about 365.1026120458.

The spelling of 48668148 in words is "forty-eight million, six hundred sixty-eight thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 41 54 58 82 87 108 116 123 164 174 246 261 348 369 379 492 522 738 758 783 1044 1107 1137 1189 1476 1516 1566 2214 2274 2378 3132 3411 3567 4428 4548 4756 6822 7134 10233 10701 10991 13644 14268 15539 20466 21402 21982 31078 32103 32973 40932 42804 43964 46617 62156 64206 65946 93234 98919 128412 131892 139851 186468 197838 279702 296757 395676 419553 450631 559404 593514 839106 901262 1187028 1351893 1678212 1802524 2703786 4055679 5407572 8111358 12167037 16222716 24334074 48668148