Search a number
-
+
149947902 = 233132337251
BaseRepresentation
bin10001111000000…
…00010111111110
3101110011010212000
420330000113332
5301341313102
622513523130
73500351616
oct1074002776
9343133760
10149947902
1177707095
12422734a6
13250b1290
1415cb3a46
15d26e01c
hex8f005fe

149947902 has 128 divisors (see below), whose sum is σ = 386104320. Its totient is φ = 42768000.

The previous prime is 149947901. The next prime is 149947957. The reversal of 149947902 is 209749941.

It is a happy number.

149947902 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149947901) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 597277 + ... + 597527.

It is an arithmetic number, because the mean of its divisors is an integer number (3016440).

Almost surely, 2149947902 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149947902, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193052160).

149947902 is an abundant number, since it is smaller than the sum of its proper divisors (236156418).

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

149947902 is a wasteful number, since it uses less digits than its factorization.

149947902 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 149947902 is about 12245.3216372621. The cubic root of 149947902 is about 531.2677637059.

The spelling of 149947902 in words is "one hundred forty-nine million, nine hundred forty-seven thousand, nine hundred two".

Divisors: 1 2 3 6 9 13 18 23 26 27 37 39 46 54 69 74 78 111 117 138 207 222 234 251 299 333 351 414 481 502 598 621 666 702 753 851 897 962 999 1242 1443 1506 1702 1794 1998 2259 2553 2691 2886 3263 4329 4518 5106 5382 5773 6526 6777 7659 8073 8658 9287 9789 11063 11546 12987 13554 15318 16146 17319 18574 19578 22126 22977 25974 27861 29367 33189 34638 45954 51957 55722 58734 66378 75049 83583 88101 99567 103914 120731 150098 155871 167166 176202 199134 213601 225147 241462 250749 298701 311742 362193 427202 450294 501498 597402 640803 675441 724386 1086579 1281606 1350882 1922409 2026323 2173158 2776813 3259737 3844818 4052646 5553626 5767227 6519474 8330439 11534454 16660878 24991317 49982634 74973951 149947902