Search a number
-
+
148098496 = 2671359431
BaseRepresentation
bin10001101001111…
…00110111000000
3101022200011221111
420310330313000
5300403122441
622410133104
73445550020
oct1064746700
9338604844
10148098496
1176663657
1241721194
13248b4560
1415951a80
15d006081
hex8d3cdc0

148098496 has 112 divisors (see below), whose sum is σ = 368686080. Its totient is φ = 57461760.

The previous prime is 148098479. The next prime is 148098497. The reversal of 148098496 is 694890841.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148098497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 343401 + ... + 343831.

It is an arithmetic number, because the mean of its divisors is an integer number (3291840).

Almost surely, 2148098496 is an apocalyptic number.

148098496 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 148098496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184343040).

148098496 is an abundant number, since it is smaller than the sum of its proper divisors (220587584).

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

148098496 is a wasteful number, since it uses less digits than its factorization.

148098496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 49.

The square root of 148098496 is about 12169.5725479575. The cubic root of 148098496 is about 529.0745639800.

The spelling of 148098496 in words is "one hundred forty-eight million, ninety-eight thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 59 64 91 104 112 118 182 208 224 236 364 413 416 431 448 472 728 767 826 832 862 944 1456 1534 1652 1724 1888 2912 3017 3068 3304 3448 3776 5369 5603 5824 6034 6136 6608 6896 10738 11206 12068 12272 13216 13792 21476 22412 24136 24544 25429 26432 27584 39221 42952 44824 48272 49088 50858 78442 85904 89648 96544 101716 156884 171808 178003 179296 193088 203432 313768 330577 343616 356006 358592 406864 627536 661154 712012 813728 1255072 1322308 1424024 1627456 2314039 2510144 2644616 2848048 4628078 5289232 5696096 9256156 10578464 11392192 18512312 21156928 37024624 74049248 148098496