Search a number
-
+
148403448 = 23333137599
BaseRepresentation
bin10001101100001…
…11010011111000
3101100020200021000
420312013103320
5300442402243
622420445000
73451260054
oct1066072370
9340220230
10148403448
1176851786
1241849760
13249902bb
14159d0c64
15d0665d3
hex8d874f8

148403448 has 128 divisors (see below), whose sum is σ = 437760000. Its totient is φ = 46500480.

The previous prime is 148403447. The next prime is 148403461. The reversal of 148403448 is 844304841.

148403448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148403447) 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, 247453 + ... + 248051.

It is an arithmetic number, because the mean of its divisors is an integer number (3420000).

Almost surely, 2148403448 is an apocalyptic number.

148403448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148403448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218880000).

148403448 is an abundant number, since it is smaller than the sum of its proper divisors (289356552).

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

148403448 is a wasteful number, since it uses less digits than its factorization.

148403448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 148403448 is about 12182.0953862626. The cubic root of 148403448 is about 529.4374570015.

The spelling of 148403448 in words is "one hundred forty-eight million, four hundred three thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 37 54 62 72 74 93 108 111 124 148 186 216 222 248 279 296 333 372 444 558 599 666 744 837 888 999 1116 1147 1198 1332 1674 1797 1998 2232 2294 2396 2664 3348 3441 3594 3996 4588 4792 5391 6696 6882 7188 7992 9176 10323 10782 13764 14376 16173 18569 20646 21564 22163 27528 30969 32346 37138 41292 43128 44326 55707 61938 64692 66489 74276 82584 88652 111414 123876 129384 132978 148552 167121 177304 199467 222828 247752 265956 334242 398934 445656 501363 531912 598401 668484 687053 797868 1002726 1196802 1336968 1374106 1595736 2005452 2061159 2393604 2748212 4010904 4122318 4787208 5496424 6183477 8244636 12366954 16489272 18550431 24733908 37100862 49467816 74201724 148403448