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149916744 = 23341731439
BaseRepresentation
bin10001110111110…
…00110001001000
3101110002120010000
420323320301020
5301334313434
622513123000
73500162025
oct1073706110
9343076100
10149916744
117769573a
1242259460
13250a0043
1415ca654c
15d264b99
hex8ef8c48

149916744 has 160 divisors (see below), whose sum is σ = 459993600. Its totient is φ = 45411840.

The previous prime is 149916731. The next prime is 149916749. The reversal of 149916744 is 447619941.

It is a self number, because there is not a number n which added to its sum of digits gives 149916744.

It is not an unprimeable number, because it can be changed into a prime (149916749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 341277 + ... + 341715.

It is an arithmetic number, because the mean of its divisors is an integer number (2874960).

Almost surely, 2149916744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149916744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229996800).

149916744 is an abundant number, since it is smaller than the sum of its proper divisors (310076856).

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

149916744 is a wasteful number, since it uses less digits than its factorization.

149916744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 492 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 149916744 is about 12244.0493301848. The cubic root of 149916744 is about 531.2309633963.

The spelling of 149916744 in words is "one hundred forty-nine million, nine hundred sixteen thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 31 34 36 51 54 62 68 72 81 93 102 108 124 136 153 162 186 204 216 248 279 306 324 372 408 439 459 527 558 612 648 744 837 878 918 1054 1116 1224 1317 1377 1581 1674 1756 1836 2108 2232 2511 2634 2754 3162 3348 3512 3672 3951 4216 4743 5022 5268 5508 6324 6696 7463 7902 9486 10044 10536 11016 11853 12648 13609 14229 14926 15804 18972 20088 22389 23706 27218 28458 29852 31608 35559 37944 40827 42687 44778 47412 54436 56916 59704 67167 71118 81654 85374 89556 94824 108872 113832 122481 134334 142236 163308 170748 179112 201501 231353 244962 268668 284472 326616 341496 367443 403002 462706 489924 537336 604503 694059 734886 806004 925412 979848 1102329 1209006 1388118 1469772 1612008 1850824 2082177 2204658 2418012 2776236 2939544 4164354 4409316 4836024 5552472 6246531 8328708 8818632 12493062 16657416 18739593 24986124 37479186 49972248 74958372 149916744