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149029944 = 23371018783
BaseRepresentation
bin10001110001000…
…00010000111000
3101101102111122120
420320200100320
5301122424234
622442121240
73456506430
oct1070402070
9341374576
10149029944
117713a448
1241ab0220
1324b4c4cb
1415b152c0
15d13c049
hex8e20438

149029944 has 64 divisors (see below), whose sum is σ = 430064640. Its totient is φ = 42153600.

The previous prime is 149029943. The next prime is 149029967. The reversal of 149029944 is 449920941.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 149029896 and 149029905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149029943) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12577 + ... + 21359.

It is an arithmetic number, because the mean of its divisors is an integer number (6719760).

Almost surely, 2149029944 is an apocalyptic number.

149029944 is a gapful number since it is divisible by the number (14) 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 149029944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215032320).

149029944 is an abundant number, since it is smaller than the sum of its proper divisors (281034696).

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

149029944 is a wasteful number, since it uses less digits than its factorization.

149029944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8900 (or 8896 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 149029944 is about 12207.7821081472. The cubic root of 149029944 is about 530.1814307059.

The spelling of 149029944 in words is "one hundred forty-nine million, twenty-nine thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 101 168 202 303 404 606 707 808 1212 1414 2121 2424 2828 4242 5656 8484 8783 16968 17566 26349 35132 52698 61481 70264 105396 122962 184443 210792 245924 368886 491848 737772 887083 1475544 1774166 2661249 3548332 5322498 6209581 7096664 10644996 12419162 18628743 21289992 24838324 37257486 49676648 74514972 149029944