Search a number
-
+
149801982 = 231131211347
BaseRepresentation
bin10001110110111…
…00101111111110
3101102212201200120
420323130233332
5301322130412
622510435410
73466203321
oct1073345776
9342781616
10149801982
11776174a0
1242202b66
132505ca35
1415c767b8
15d240b8c
hex8edcbfe

149801982 has 64 divisors (see below), whose sum is σ = 339959808. Its totient is φ = 43596000.

The previous prime is 149801963. The next prime is 149801983. The reversal of 149801982 is 289108941.

149801982 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1498019822 = 44881267622256648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149801983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 431533 + ... + 431879.

It is an arithmetic number, because the mean of its divisors is an integer number (5311872).

Almost surely, 2149801982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149801982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169979904).

149801982 is an abundant number, since it is smaller than the sum of its proper divisors (190157826).

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

149801982 is a wasteful number, since it uses less digits than its factorization.

149801982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605.

The product of its (nonzero) digits is 41472, while the sum is 42.

The square root of 149801982 is about 12239.3619931760. The cubic root of 149801982 is about 531.0953754933.

The spelling of 149801982 in words is "one hundred forty-nine million, eight hundred one thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 186 211 341 347 422 633 682 694 1023 1041 1266 2046 2082 2321 3817 4642 6541 6963 7634 10757 11451 13082 13926 19623 21514 22902 32271 39246 64542 71951 73217 118327 143902 146434 215853 219651 236654 354981 431706 439302 709962 805387 1610774 2269727 2416161 4539454 4832322 6809181 13618362 24966997 49933994 74900991 149801982