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149388096 = 26311135441
BaseRepresentation
bin10001110011101…
…11101101000000
3101102002200221110
420321313231000
5301220404341
622453523320
73462530544
oct1071675500
9342080843
10149388096
1177364540
1242043540
1324c46530
1415ba9a24
15d1ad216
hex8e77b40

149388096 has 112 divisors (see below), whose sum is σ = 464442048. Its totient is φ = 41779200.

The previous prime is 149388067. The next prime is 149388103. The reversal of 149388096 is 690883941.

149388096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 24736 + ... + 30176.

It is an arithmetic number, because the mean of its divisors is an integer number (4146804).

Almost surely, 2149388096 is an apocalyptic number.

149388096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149388096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232221024).

149388096 is an abundant number, since it is smaller than the sum of its proper divisors (315053952).

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

149388096 is a wasteful number, since it uses less digits than its factorization.

149388096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5480 (or 5470 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 48.

The square root of 149388096 is about 12222.4423091295. The cubic root of 149388096 is about 530.6058054436.

The spelling of 149388096 in words is "one hundred forty-nine million, three hundred eighty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 64 66 78 88 96 104 132 143 156 176 192 208 264 286 312 352 416 429 528 572 624 704 832 858 1056 1144 1248 1716 2112 2288 2496 3432 4576 5441 6864 9152 10882 13728 16323 21764 27456 32646 43528 59851 65292 70733 87056 119702 130584 141466 174112 179553 212199 239404 261168 282932 348224 359106 424398 478808 522336 565864 718212 778063 848796 957616 1044672 1131728 1436424 1556126 1697592 1915232 2263456 2334189 2872848 3112252 3395184 3830464 4526912 4668378 5745696 6224504 6790368 9336756 11491392 12449008 13580736 18673512 24898016 37347024 49796032 74694048 149388096