Search a number
-
+
148022976 = 2635973179
BaseRepresentation
bin10001101001010…
…10011011000000
3101022112100100110
420310222123000
5300343213401
622404351320
73445113603
oct1064523300
9338470313
10148022976
1176611942
12416a5540
132488907a
141593233a
15cedd9d6
hex8d2a6c0

148022976 has 112 divisors (see below), whose sum is σ = 405993600. Its totient is φ = 47572992.

The previous prime is 148022957. The next prime is 148022993. The reversal of 148022976 is 679220841.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 826855 + ... + 827033.

Almost surely, 2148022976 is an apocalyptic number.

148022976 is a gapful number since it is divisible by the number (16) 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 148022976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202996800).

148022976 is an abundant number, since it is smaller than the sum of its proper divisors (257970624).

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

148022976 is a wasteful number, since it uses less digits than its factorization.

148022976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 148022976 is about 12166.4693317330. The cubic root of 148022976 is about 528.9846181993.

The spelling of 148022976 in words is "one hundred forty-eight million, twenty-two thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 73 96 118 146 177 179 192 219 236 292 354 358 438 472 537 584 708 716 876 944 1074 1168 1416 1432 1752 1888 2148 2336 2832 2864 3504 3776 4296 4307 4672 5664 5728 7008 8592 8614 10561 11328 11456 12921 13067 14016 17184 17228 21122 25842 26134 31683 34368 34456 39201 42244 51684 52268 63366 68912 78402 84488 103368 104536 126732 137824 156804 168976 206736 209072 253464 275648 313608 337952 413472 418144 506928 627216 675904 770953 826944 836288 1013856 1254432 1541906 2027712 2312859 2508864 3083812 4625718 6167624 9251436 12335248 18502872 24670496 37005744 49340992 74011488 148022976