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149894272 = 2711293671
BaseRepresentation
bin10001110111100…
…11010010000000
3101110001102021201
420323303102000
5301333104042
622512430544
73500036353
oct1073632200
9343042251
10149894272
117767a870
1242248454
1325092a48
1415c9c29a
15d25d1b7
hex8ef3480

149894272 has 64 divisors (see below), whose sum is σ = 337089600. Its totient is φ = 65766400.

The previous prime is 149894257. The next prime is 149894273. The reversal of 149894272 is 272498941.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (149894273) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38997 + ... + 42667.

It is an arithmetic number, because the mean of its divisors is an integer number (5267025).

Almost surely, 2149894272 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 149894272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168544800).

149894272 is an abundant number, since it is smaller than the sum of its proper divisors (187195328).

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

149894272 is a wasteful number, since it uses less digits than its factorization.

149894272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3725 (or 3713 counting only the distinct ones).

The product of its digits is 290304, while the sum is 46.

The square root of 149894272 is about 12243.1316255278. The cubic root of 149894272 is about 531.2044188436.

The spelling of 149894272 in words is "one hundred forty-nine million, eight hundred ninety-four thousand, two hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 64 88 116 128 176 232 319 352 464 638 704 928 1276 1408 1856 2552 3671 3712 5104 7342 10208 14684 20416 29368 40381 40832 58736 80762 106459 117472 161524 212918 234944 323048 425836 469888 646096 851672 1171049 1292192 1703344 2342098 2584384 3406688 4684196 5168768 6813376 9368392 13626752 18736784 37473568 74947136 149894272