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149153784 = 233131761461
BaseRepresentation
bin10001110001111…
…10011111111000
3101101122210112020
420320332133320
5301140410114
622444514440
73460533453
oct1070763770
9341583466
10149153784
117721449a
1241b4ba20
1324b939a0
1415b4849a
15d163aa9
hex8e3e7f8

149153784 has 128 divisors (see below), whose sum is σ = 433097280. Its totient is φ = 42393600.

The previous prime is 149153779. The next prime is 149153791. The reversal of 149153784 is 487351941.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 323314 + ... + 323774.

Almost surely, 2149153784 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 149153784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216548640).

149153784 is an abundant number, since it is smaller than the sum of its proper divisors (283943496).

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

149153784 is a wasteful number, since it uses less digits than its factorization.

149153784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 557 counting only the distinct ones).

The product of its digits is 120960, while the sum is 42.

The square root of 149153784 is about 12212.8532292827. The cubic root of 149153784 is about 530.3282456980.

The spelling of 149153784 in words is "one hundred forty-nine million, one hundred fifty-three thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 39 51 52 61 68 78 102 104 122 136 156 183 204 221 244 312 366 408 442 461 488 663 732 793 884 922 1037 1326 1383 1464 1586 1768 1844 2074 2379 2652 2766 3111 3172 3688 4148 4758 5304 5532 5993 6222 6344 7837 8296 9516 11064 11986 12444 13481 15674 17979 19032 23511 23972 24888 26962 28121 31348 35958 40443 47022 47944 53924 56242 62696 71916 80886 84363 94044 101881 107848 112484 143832 161772 168726 188088 203762 224968 305643 323544 337452 365573 407524 478057 611286 674904 731146 815048 956114 1096719 1222572 1434171 1462292 1912228 2193438 2445144 2868342 2924584 3824456 4386876 5736684 6214741 8773752 11473368 12429482 18644223 24858964 37288446 49717928 74576892 149153784