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149044500 = 223253113011
BaseRepresentation
bin10001110001000…
…11110100010100
3101101110020121200
420320203310110
5301123411000
622442312500
73456600033
oct1070436424
9341406550
10149044500
117714a380
1241ab8730
1324b56017
1415b1a71a
15d141500
hex8e23d14

149044500 has 144 divisors (see below), whose sum is σ = 513100224. Its totient is φ = 36120000.

The previous prime is 149044397. The next prime is 149044501. The reversal of 149044500 is 5440941.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149044501) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47995 + ... + 51005.

It is an arithmetic number, because the mean of its divisors is an integer number (3563196).

Almost surely, 2149044500 is an apocalyptic number.

149044500 is a gapful number since it is divisible by the number (10) 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 149044500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256550112).

149044500 is an abundant number, since it is smaller than the sum of its proper divisors (364055724).

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

149044500 is a wasteful number, since it uses less digits than its factorization.

149044500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3047 (or 3032 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 149044500 is about 12208.3782706795. The cubic root of 149044500 is about 530.1986913750.

The spelling of 149044500 in words is "one hundred forty-nine million, forty-four thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 25 30 33 36 44 45 50 55 60 66 75 90 99 100 110 125 132 150 165 180 198 220 225 250 275 300 330 375 396 450 495 500 550 660 750 825 900 990 1100 1125 1375 1500 1650 1980 2250 2475 2750 3011 3300 4125 4500 4950 5500 6022 8250 9033 9900 12044 12375 15055 16500 18066 24750 27099 30110 33121 36132 45165 49500 54198 60220 66242 75275 90330 99363 108396 132484 135495 150550 165605 180660 198726 225825 270990 298089 301100 331210 376375 397452 451650 496815 541980 596178 662420 677475 752750 828025 903300 993630 1129125 1192356 1354950 1490445 1505500 1656050 1987260 2258250 2484075 2709900 2980890 3312100 3387375 4140125 4516500 4968150 5961780 6774750 7452225 8280250 9936300 12420375 13549500 14904450 16560500 24840750 29808900 37261125 49681500 74522250 149044500