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149943552 = 2831117749
BaseRepresentation
bin10001110111111…
…11010100000000
3101110010220212220
420323333110000
5301341143202
622513451040
73500333133
oct1073772400
9343126786
10149943552
11777038a0
1242270a80
13250ac2c5
1415cb221a
15d26cabc
hex8eff500

149943552 has 72 divisors (see below), whose sum is σ = 435372000. Its totient is φ = 45434880.

The previous prime is 149943529. The next prime is 149943569. The reversal of 149943552 is 255349941.

149943552 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 427 + ... + 17322.

Almost surely, 2149943552 is an apocalyptic number.

149943552 is a gapful number since it is divisible by the number (12) 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 149943552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217686000).

149943552 is an abundant number, since it is smaller than the sum of its proper divisors (285428448).

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

149943552 is a wasteful number, since it uses less digits than its factorization.

149943552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17779 (or 17765 counting only the distinct ones).

The product of its digits is 194400, while the sum is 42.

The square root of 149943552 is about 12245.1440171196. The cubic root of 149943552 is about 531.2626262835.

The spelling of 149943552 in words is "one hundred forty-nine million, nine hundred forty-three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 528 704 768 1056 1408 2112 2816 4224 8448 17749 35498 53247 70996 106494 141992 195239 212988 283984 390478 425976 567968 585717 780956 851952 1135936 1171434 1561912 1703904 2271872 2342868 3123824 3407808 4543744 4685736 6247648 6815616 9371472 12495296 13631232 18742944 24990592 37485888 49981184 74971776 149943552