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149384466 = 23371137971
BaseRepresentation
bin10001110011101…
…10110100010010
3101102002111222000
420321312310102
5301220300331
622453454430
73462514140
oct1071666422
9342074860
10149384466
1177361840
1242041416
1324c4499a
1415ba8590
15d1ac0e6
hex8e76d12

149384466 has 128 divisors (see below), whose sum is σ = 425502720. Its totient is φ = 37713600.

The previous prime is 149384363. The next prime is 149384467. The reversal of 149384466 is 664483941.

149384466 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (149384467) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 153361 + ... + 154331.

It is an arithmetic number, because the mean of its divisors is an integer number (3324240).

Almost surely, 2149384466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149384466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212751360).

149384466 is an abundant number, since it is smaller than the sum of its proper divisors (276118254).

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

149384466 is a wasteful number, since it uses less digits than its factorization.

149384466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1037 (or 1031 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 149384466 is about 12222.2938109015. The cubic root of 149384466 is about 530.6015076565.

The spelling of 149384466 in words is "one hundred forty-nine million, three hundred eighty-four thousand, four hundred sixty-six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 37 42 54 63 66 74 77 99 111 126 154 189 198 222 231 259 297 333 378 407 462 518 594 666 693 777 814 971 999 1221 1386 1554 1942 1998 2079 2331 2442 2849 2913 3663 4158 4662 5698 5826 6797 6993 7326 8547 8739 10681 10989 13594 13986 17094 17478 20391 21362 21978 25641 26217 32043 35927 40782 51282 52434 61173 64086 71854 74767 76923 96129 107781 122346 149534 153846 183519 192258 215562 224301 251489 288387 323343 367038 395197 448602 502978 576774 646686 672903 754467 790394 970029 1185591 1345806 1508934 1940058 2018709 2263401 2371182 2766379 3556773 4037418 4526802 5532758 6790203 7113546 8299137 10670319 13580406 16598274 21340638 24897411 49794822 74692233 149384466