Search a number
-
+
149244912 = 24323167499
BaseRepresentation
bin10001110010101…
…00101111110000
3101101211102112100
420321110233300
5301201314122
622450500400
73461363235
oct1071245760
9341742470
10149244912
1177276a03
1241b94700
1324bc62cb
1415b6d78c
15d180aac
hex8e54bf0

149244912 has 120 divisors (see below), whose sum is σ = 438464000. Its totient is φ = 47329920.

The previous prime is 149244889. The next prime is 149244929. The reversal of 149244912 is 219442941.

149244912 is a `hidden beast` number, since 149 + 24 + 491 + 2 = 666.

149244912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 298839 + ... + 299337.

Almost surely, 2149244912 is an apocalyptic number.

149244912 is a gapful number since it is divisible by the number (12) 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 149244912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219232000).

149244912 is an abundant number, since it is smaller than the sum of its proper divisors (289219088).

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

149244912 is a wasteful number, since it uses less digits than its factorization.

149244912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611 (or 602 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 149244912 is about 12216.5834831183. The cubic root of 149244912 is about 530.4362280149.

The spelling of 149244912 in words is "one hundred forty-nine million, two hundred forty-four thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 67 72 93 124 134 144 186 201 248 268 279 372 402 496 499 536 558 603 744 804 998 1072 1116 1206 1488 1497 1608 1996 2077 2232 2412 2994 3216 3992 4154 4464 4491 4824 5988 6231 7984 8308 8982 9648 11976 12462 15469 16616 17964 18693 23952 24924 30938 33232 33433 35928 37386 46407 49848 61876 66866 71856 74772 92814 99696 100299 123752 133732 139221 149544 185628 200598 247504 267464 278442 299088 300897 371256 401196 534928 556884 601794 742512 802392 1036423 1113768 1203588 1604784 2072846 2227536 2407176 3109269 4145692 4814352 6218538 8291384 9327807 12437076 16582768 18655614 24874152 37311228 49748304 74622456 149244912