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149021496 = 233213237331
BaseRepresentation
bin10001110000111…
…10001100111000
3101101102002001200
420320132030320
5301122141441
622442014200
73456443001
oct1070361470
9341362050
10149021496
1177134068
1241aa7360
1324b48700
1415b121a8
15d1397b6
hex8e1e338

149021496 has 144 divisors (see below), whose sum is σ = 450201960. Its totient is φ = 44478720.

The previous prime is 149021479. The next prime is 149021573. The reversal of 149021496 is 694120941.

It is a happy number.

149021496 is a `hidden beast` number, since 149 + 0 + 21 + 496 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 149021496.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 450051 + ... + 450381.

Almost surely, 2149021496 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 149021496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225100980).

149021496 is an abundant number, since it is smaller than the sum of its proper divisors (301180464).

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

149021496 is a wasteful number, since it uses less digits than its factorization.

149021496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 149021496 is about 12207.4360944467. The cubic root of 149021496 is about 530.1714124566.

The spelling of 149021496 in words is "one hundred forty-nine million, twenty-one thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 37 39 52 72 74 78 104 111 117 148 156 169 222 234 296 312 331 333 338 444 468 481 507 662 666 676 888 936 962 993 1014 1324 1332 1352 1443 1521 1924 1986 2028 2648 2664 2886 2979 3042 3848 3972 4056 4303 4329 5772 5958 6084 6253 7944 8606 8658 11544 11916 12168 12247 12506 12909 17212 17316 18759 23832 24494 25012 25818 34424 34632 36741 37518 38727 48988 50024 51636 55939 56277 73482 75036 77454 97976 103272 110223 111878 112554 146964 150072 154908 159211 167817 220446 223756 225108 293928 309816 318422 335634 440892 447512 450216 477633 503451 636844 671268 881784 955266 1006902 1273688 1342536 1432899 1910532 2013804 2069743 2865798 3821064 4027608 4139486 5731596 6209229 8278972 11463192 12418458 16557944 18627687 24836916 37255374 49673832 74510748 149021496