Search a number
-
+
148452144 = 24341241313
BaseRepresentation
bin10001101100100…
…11001100110000
3101100100011001120
420312103030300
5301000432034
622421502240
73451552041
oct1066231460
9340304046
10148452144
1176885325
1241871980
13249a9509
1415a048c8
15d075c49
hex8d93330

148452144 has 80 divisors (see below), whose sum is σ = 395745504. Its totient is φ = 47923200.

The previous prime is 148452137. The next prime is 148452163. The reversal of 148452144 is 441254841.

It is a congruent number.

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, 474132 + ... + 474444.

Almost surely, 2148452144 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 148452144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197872752).

148452144 is an abundant number, since it is smaller than the sum of its proper divisors (247293360).

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

148452144 is a wasteful number, since it uses less digits than its factorization.

148452144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 600 counting only the distinct ones).

The product of its digits is 20480, while the sum is 33.

The square root of 148452144 is about 12184.0938932692. The cubic root of 148452144 is about 529.4953592209.

It can be divided in two parts, 1484 and 52144, that added together give a triangular number (53628 = T327).

The spelling of 148452144 in words is "one hundred forty-eight million, four hundred fifty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 164 241 246 313 328 482 492 626 656 723 939 964 984 1252 1446 1878 1928 1968 2504 2892 3756 3856 5008 5784 7512 9881 11568 12833 15024 19762 25666 29643 38499 39524 51332 59286 75433 76998 79048 102664 118572 150866 153996 158096 205328 226299 237144 301732 307992 452598 474288 603464 615984 905196 1206928 1810392 3092753 3620784 6185506 9278259 12371012 18556518 24742024 37113036 49484048 74226072 148452144