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144704476 = 227171092789
BaseRepresentation
bin10001010000000…
…00001111011100
3101002021202020001
420220000033130
5244021020401
622205304044
73404652640
oct1050001734
9332252201
10144704476
1174755684
1240565024
1323c96767
141530ac20
15ca85601
hex8a003dc

144704476 has 48 divisors (see below), whose sum is σ = 309355200. Its totient is φ = 57811968.

The previous prime is 144704471. The next prime is 144704491. The reversal of 144704476 is 674407441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144704471) 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, 50490 + ... + 53278.

It is an arithmetic number, because the mean of its divisors is an integer number (6444900).

Almost surely, 2144704476 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 144704476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154677600).

144704476 is an abundant number, since it is smaller than the sum of its proper divisors (164650724).

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

144704476 is a wasteful number, since it uses less digits than its factorization.

144704476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2926 (or 2924 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 37.

The square root of 144704476 is about 12029.3173538651. The cubic root of 144704476 is about 525.0016338573.

The spelling of 144704476 in words is "one hundred forty-four million, seven hundred four thousand, four hundred seventy-six".

Divisors: 1 2 4 7 14 17 28 34 68 109 119 218 238 436 476 763 1526 1853 2789 3052 3706 5578 7412 11156 12971 19523 25942 39046 47413 51884 78092 94826 189652 304001 331891 608002 663782 1216004 1327564 2128007 4256014 5168017 8512028 10336034 20672068 36176119 72352238 144704476