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149945264 = 24719312273
BaseRepresentation
bin10001110111111…
…11101110110000
3101110011000020022
420323333232300
5301341222024
622513503012
73500341130
oct1073775660
9343130208
10149945264
1177705107
1242271a68
13250b0011
1415cb2ac0
15d26d35e
hex8effbb0

149945264 has 80 divisors (see below), whose sum is σ = 360929280. Its totient is φ = 58890240.

The previous prime is 149945261. The next prime is 149945291. The reversal of 149945264 is 462549941.

It is not an unprimeable number, because it can be changed into a prime (149945261) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64832 + ... + 67104.

It is an arithmetic number, because the mean of its divisors is an integer number (4511616).

Almost surely, 2149945264 is an apocalyptic number.

149945264 is a gapful number since it is divisible by the number (14) 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 149945264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180464640).

149945264 is an abundant number, since it is smaller than the sum of its proper divisors (210984016).

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

149945264 is a wasteful number, since it uses less digits than its factorization.

149945264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2338 (or 2332 counting only the distinct ones).

The product of its digits is 311040, while the sum is 44.

The square root of 149945264 is about 12245.2139221820. The cubic root of 149945264 is about 531.2646481959.

The spelling of 149945264 in words is "one hundred forty-nine million, nine hundred forty-five thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 19 28 31 38 56 62 76 112 124 133 152 217 248 266 304 434 496 532 589 868 1064 1178 1736 2128 2273 2356 3472 4123 4546 4712 8246 9092 9424 15911 16492 18184 31822 32984 36368 43187 63644 65968 70463 86374 127288 140926 172748 254576 281852 302309 345496 493241 563704 604618 690992 986482 1127408 1209236 1338797 1972964 2418472 2677594 3945928 4836944 5355188 7891856 9371579 10710376 18743158 21420752 37486316 74972632 149945264