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149124768 = 25313192331
BaseRepresentation
bin10001110001101…
…11011010100000
3101101121022201120
420320313122200
5301133443033
622444132240
73460353042
oct1070673240
9341538646
10149124768
11771a4711
1241b37080
1324b83710
1415b3ba92
15d15a1b3
hex8e376a0

149124768 has 144 divisors (see below), whose sum is σ = 446263776. Its totient is φ = 43338240.

The previous prime is 149124737. The next prime is 149124769. The reversal of 149124768 is 867421941.

It is not an unprimeable number, because it can be changed into a prime (149124769) 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 23 ways as a sum of consecutive naturals, for example, 450363 + ... + 450693.

It is an arithmetic number, because the mean of its divisors is an integer number (3099054).

Almost surely, 2149124768 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 149124768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223131888).

149124768 is an abundant number, since it is smaller than the sum of its proper divisors (297139008).

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

149124768 is a wasteful number, since it uses less digits than its factorization.

149124768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 368 counting only the distinct ones).

The product of its digits is 96768, while the sum is 42.

The square root of 149124768 is about 12211.6652427095. The cubic root of 149124768 is about 530.2938538957.

The spelling of 149124768 in words is "one hundred forty-nine million, one hundred twenty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 57 76 78 96 104 114 152 156 208 228 247 304 312 331 361 416 456 494 608 624 662 722 741 912 988 993 1083 1248 1324 1444 1482 1824 1976 1986 2166 2648 2888 2964 3952 3972 4303 4332 4693 5296 5776 5928 6289 7904 7944 8606 8664 9386 10592 11552 11856 12578 12909 14079 15888 17212 17328 18772 18867 23712 25156 25818 28158 31776 34424 34656 37544 37734 50312 51636 56316 68848 75088 75468 81757 100624 103272 112632 119491 137696 150176 150936 163514 201248 206544 225264 238982 245271 301872 327028 358473 413088 450528 477964 490542 603744 654056 716946 955928 981084 1308112 1433892 1553383 1911856 1962168 2616224 2867784 3106766 3823712 3924336 4660149 5735568 6213532 7848672 9320298 11471136 12427064 18640596 24854128 37281192 49708256 74562384 149124768