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144806772 = 223117115451
BaseRepresentation
bin10001010000110…
…01001101110100
3101002110221112210
420220121031310
5244032304042
622211413420
73405560115
oct1050311564
9332427483
10144806772
1174815520
12405b4270
13240011a6
141533620c
15caa5a9c
hex8a19374

144806772 has 48 divisors (see below), whose sum is σ = 373814784. Its totient is φ = 43260000.

The previous prime is 144806749. The next prime is 144806801. The reversal of 144806772 is 277608441.

It is a self number, because there is not a number n which added to its sum of digits gives 144806772.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1647 + ... + 17097.

It is an arithmetic number, because the mean of its divisors is an integer number (7787808).

Almost surely, 2144806772 is an apocalyptic number.

144806772 is a gapful number since it is divisible by the number (12) 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 144806772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186907392).

144806772 is an abundant number, since it is smaller than the sum of its proper divisors (229008012).

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

144806772 is a wasteful number, since it uses less digits than its factorization.

144806772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15540 (or 15538 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The square root of 144806772 is about 12033.5685480243. The cubic root of 144806772 is about 525.1253179299.

The spelling of 144806772 in words is "one hundred forty-four million, eight hundred six thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 71 132 142 213 284 426 781 852 1562 2343 3124 4686 9372 15451 30902 46353 61804 92706 169961 185412 339922 509883 679844 1019766 1097021 2039532 2194042 3291063 4388084 6582126 12067231 13164252 24134462 36201693 48268924 72403386 144806772