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149162544 = 243223291553
BaseRepresentation
bin10001110010000…
…00101000110000
3101101200020112200
420321000220300
5301141200134
622445023200
73460601136
oct1071005060
9341606480
10149162544
1177220033
1241b54b00
1324b9797b
1415b4b756
15d166499
hex8e40a30

149162544 has 120 divisors (see below), whose sum is σ = 450908640. Its totient is φ = 45889536.

The previous prime is 149162527. The next prime is 149162549. The reversal of 149162544 is 445261941.

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

It is a zygodrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 149162499 and 149162508.

It is not an unprimeable number, because it can be changed into a prime (149162549) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95272 + ... + 96824.

It is an arithmetic number, because the mean of its divisors is an integer number (3757572).

Almost surely, 2149162544 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 149162544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225454320).

149162544 is an abundant number, since it is smaller than the sum of its proper divisors (301746096).

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

149162544 is a wasteful number, since it uses less digits than its factorization.

149162544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1619 (or 1610 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 149162544 is about 12213.2118625692. The cubic root of 149162544 is about 530.3386277890.

The spelling of 149162544 in words is "one hundred forty-nine million, one hundred sixty-two thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 29 36 46 48 58 69 72 87 92 116 138 144 174 184 207 232 261 276 348 368 414 464 522 552 667 696 828 1044 1104 1334 1392 1553 1656 2001 2088 2668 3106 3312 4002 4176 4659 5336 6003 6212 8004 9318 10672 12006 12424 13977 16008 18636 24012 24848 27954 32016 35719 37272 45037 48024 55908 71438 74544 90074 96048 107157 111816 135111 142876 180148 214314 223632 270222 285752 321471 360296 405333 428628 540444 571504 642942 720592 810666 857256 1035851 1080888 1285884 1621332 1714512 2071702 2161776 2571768 3107553 3242664 4143404 5143536 6215106 6485328 8286808 9322659 12430212 16573616 18645318 24860424 37290636 49720848 74581272 149162544