Search a number
-
+
148979304 = 233319311171
BaseRepresentation
bin10001110000100…
…11111001101000
3101101022221012000
420320103321220
5301114314204
622441051000
73456205665
oct1070237150
9341287160
10148979304
11771053a1
1241a86a60
1324b32446
1415b00a6c
15d12c039
hex8e13e68

148979304 has 128 divisors (see below), whose sum is σ = 450048000. Its totient is φ = 45489600.

The previous prime is 148979291. The next prime is 148979309. The reversal of 148979304 is 403979841.

It is a self number, because there is not a number n which added to its sum of digits gives 148979304.

It is not an unprimeable number, because it can be changed into a prime (148979309) 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 31 ways as a sum of consecutive naturals, for example, 126639 + ... + 127809.

It is an arithmetic number, because the mean of its divisors is an integer number (3516000).

Almost surely, 2148979304 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 148979304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225024000).

148979304 is an abundant number, since it is smaller than the sum of its proper divisors (301068696).

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

148979304 is a wasteful number, since it uses less digits than its factorization.

148979304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1236 (or 1226 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 148979304 is about 12205.7078451026. The cubic root of 148979304 is about 530.1213724641.

The spelling of 148979304 in words is "one hundred forty-eight million, nine hundred seventy-nine thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 31 36 38 54 57 62 72 76 93 108 114 124 152 171 186 216 228 248 279 342 372 456 513 558 589 684 744 837 1026 1116 1171 1178 1368 1674 1767 2052 2232 2342 2356 3348 3513 3534 4104 4684 4712 5301 6696 7026 7068 9368 10539 10602 14052 14136 15903 21078 21204 22249 28104 31617 31806 36301 42156 42408 44498 63234 63612 66747 72602 84312 88996 108903 126468 127224 133494 145204 177992 200241 217806 252936 266988 290408 326709 400482 435612 533976 600723 653418 689719 800964 871224 980127 1201446 1306836 1379438 1601928 1960254 2069157 2402892 2613672 2758876 3920508 4138314 4805784 5517752 6207471 7841016 8276628 12414942 16553256 18622413 24829884 37244826 49659768 74489652 148979304