Search a number
-
+
148078968 = 23323457587
BaseRepresentation
bin10001101001110…
…00000101111000
3101022122012011020
420310320011320
5300402011333
622405502440
73445436052
oct1064700570
9338565136
10148078968
117664aa14
1241711a20
13248a86bb
14159488d2
15d0003b3
hex8d38178

148078968 has 64 divisors (see below), whose sum is σ = 387797760. Its totient is φ = 47030016.

The previous prime is 148078963. The next prime is 148078969. The reversal of 148078968 is 869870841.

148078968 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 148078968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148078961) 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, 251971 + ... + 252557.

It is an arithmetic number, because the mean of its divisors is an integer number (6059340).

Almost surely, 2148078968 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 148078968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193898880).

148078968 is an abundant number, since it is smaller than the sum of its proper divisors (239718792).

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

148078968 is a wasteful number, since it uses less digits than its factorization.

148078968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1076 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 51.

The square root of 148078968 is about 12168.7701925873. The cubic root of 148078968 is about 529.0513086860.

The spelling of 148078968 in words is "one hundred forty-eight million, seventy-eight thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 457 552 587 914 1174 1371 1761 1828 2348 2742 3522 3656 4696 5484 7044 10511 10968 13501 14088 21022 27002 31533 40503 42044 54004 63066 81006 84088 108008 126132 162012 252264 268259 324024 536518 804777 1073036 1609554 2146072 3219108 6169957 6438216 12339914 18509871 24679828 37019742 49359656 74039484 148078968