Search a number
-
+
149951250 = 234541481
BaseRepresentation
bin10001111000000…
…01001100010010
3101110011022110000
420330001030102
5301341420000
622513550430
73500364441
oct1074011422
9343138400
10149951250
1177709659
1242275416
13250b2967
1415cb4d58
15d270000
hex8f01312

149951250 has 100 divisors (see below), whose sum is σ = 420151446. Its totient is φ = 39960000.

The previous prime is 149951231. The next prime is 149951251. The reversal of 149951250 is 52159941.

149951250 is a `hidden beast` number, since 1 + 4 + 99 + 512 + 50 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 793881 + 149157369 = 891^2 + 12213^2 .

It is a super-3 number, since 3×1499512503 (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (149951251) by changing a digit.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 100510 + ... + 101990.

Almost surely, 2149951250 is an apocalyptic number.

149951250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 149951250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210075723).

149951250 is an abundant number, since it is smaller than the sum of its proper divisors (270200196).

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

149951250 is an equidigital number, since it uses as much as digits as its factorization.

149951250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1515 (or 1491 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The square root of 149951250 is about 12245.4583417690. The cubic root of 149951250 is about 531.2717176819.

The spelling of 149951250 in words is "one hundred forty-nine million, nine hundred fifty-one thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 125 135 150 162 225 250 270 375 405 450 625 675 750 810 1125 1250 1350 1481 1875 2025 2250 2962 3375 3750 4050 4443 5625 6750 7405 8886 10125 11250 13329 14810 16875 20250 22215 26658 33750 37025 39987 44430 50625 66645 74050 79974 101250 111075 119961 133290 185125 199935 222150 239922 333225 370250 399870 555375 599805 666450 925625 999675 1110750 1199610 1666125 1851250 1999350 2776875 2999025 3332250 4998375 5553750 5998050 8330625 9996750 14995125 16661250 24991875 29990250 49983750 74975625 149951250