Search a number
-
+
148826496 = 2737134259
BaseRepresentation
bin10001101111011…
…10100110000000
3101101001011120110
420313232212000
5301044421441
622433511320
73455001330
oct1067564600
9341034513
10148826496
1177010605
1241a12540
1324aaaa20
1415aa10c0
15d0ebb16
hex8dee980

148826496 has 128 divisors (see below), whose sum is σ = 486662400. Its totient is φ = 39241728.

The previous prime is 148826479. The next prime is 148826527. The reversal of 148826496 is 694628841.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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, 32815 + ... + 37073.

It is an arithmetic number, because the mean of its divisors is an integer number (3802050).

Almost surely, 2148826496 is an apocalyptic number.

148826496 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 148826496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243331200).

148826496 is an abundant number, since it is smaller than the sum of its proper divisors (337835904).

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

148826496 is a wasteful number, since it uses less digits than its factorization.

148826496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4296 (or 4284 counting only the distinct ones).

The product of its digits is 663552, while the sum is 48.

The square root of 148826496 is about 12199.4465448233. The cubic root of 148826496 is about 529.9400620482.

The spelling of 148826496 in words is "one hundred forty-eight million, eight hundred twenty-six thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 128 156 168 182 192 208 224 273 312 336 364 384 416 448 546 624 672 728 832 896 1092 1248 1344 1456 1664 2184 2496 2688 2912 4259 4368 4992 5824 8518 8736 11648 12777 17036 17472 25554 29813 34072 34944 51108 55367 59626 68144 89439 102216 110734 119252 136288 166101 178878 204432 221468 238504 272576 332202 357756 387569 408864 442936 477008 545152 664404 715512 775138 817728 885872 954016 1162707 1328808 1431024 1550276 1635456 1771744 1908032 2325414 2657616 2862048 3100552 3543488 3816064 4650828 5315232 5724096 6201104 7086976 9301656 10630464 11448192 12402208 18603312 21260928 24804416 37206624 49608832 74413248 148826496