Search a number
-
+
149168928 = 2538397193
BaseRepresentation
bin10001110010000…
…10001100100000
3101101200120022010
420321002030200
5301141401203
622445112520
73460625556
oct1071021440
9341616263
10149168928
1177224907
1241b58740
1324b9a84c
1415b4dbd6
15d168303
hex8e42320

149168928 has 96 divisors (see below), whose sum is σ = 402446016. Its totient is φ = 48365568.

The previous prime is 149168917. The next prime is 149168939. The reversal of 149168928 is 829861941.

It is an interprime number because it is at equal distance from previous prime (149168917) and next prime (149168939).

It is a tau number, because it is divible by the number of its divisors (96).

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 772800 + ... + 772992.

It is an arithmetic number, because the mean of its divisors is an integer number (4192146).

Almost surely, 2149168928 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 149168928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201223008).

149168928 is an abundant number, since it is smaller than the sum of its proper divisors (253277088).

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

149168928 is a wasteful number, since it uses less digits than its factorization.

149168928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 378 counting only the distinct ones).

The product of its digits is 248832, while the sum is 48.

The square root of 149168928 is about 12213.4732160839. The cubic root of 149168928 is about 530.3461936596.

The spelling of 149168928 in words is "one hundred forty-nine million, one hundred sixty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 83 96 97 166 193 194 249 291 332 386 388 498 579 582 664 772 776 996 1158 1164 1328 1544 1552 1992 2316 2328 2656 3088 3104 3984 4632 4656 6176 7968 8051 9264 9312 16019 16102 18528 18721 24153 32038 32204 37442 48057 48306 56163 64076 64408 74884 96114 96612 112326 128152 128816 149768 192228 193224 224652 256304 257632 299536 384456 386448 449304 512608 599072 768912 772896 898608 1537824 1553843 1797216 3107686 4661529 6215372 9323058 12430744 18646116 24861488 37292232 49722976 74584464 149168928