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144472848 = 24313415647
BaseRepresentation
bin10001001110001…
…11101100010000
3101001211222111020
420213013230100
5243441112343
622200315440
73402666432
oct1047075420
9331758436
10144472848
1174607653
1240472b80
1323c151c0
141528a652
15ca3bb83
hex89c7b10

144472848 has 80 divisors (see below), whose sum is σ = 411806976. Its totient is φ = 43361280.

The previous prime is 144472843. The next prime is 144472849. The reversal of 144472848 is 848274441.

It is a super-2 number, since 2×1444728482 = 41744807618462208, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (144472841) 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, 22761 + ... + 28407.

Almost surely, 2144472848 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 144472848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205903488).

144472848 is an abundant number, since it is smaller than the sum of its proper divisors (267334128).

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

144472848 is a wasteful number, since it uses less digits than its factorization.

144472848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5712 (or 5706 counting only the distinct ones).

The product of its digits is 229376, while the sum is 42.

The square root of 144472848 is about 12019.6858528000. The cubic root of 144472848 is about 524.7213614386.

The spelling of 144472848 in words is "one hundred forty-four million, four hundred seventy-two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 41 48 52 78 82 104 123 156 164 208 246 312 328 492 533 624 656 984 1066 1599 1968 2132 3198 4264 5647 6396 8528 11294 12792 16941 22588 25584 33882 45176 67764 73411 90352 135528 146822 220233 231527 271056 293644 440466 463054 587288 694581 880932 926108 1174576 1389162 1761864 1852216 2778324 3009851 3523728 3704432 5556648 6019702 9029553 11113296 12039404 18059106 24078808 36118212 48157616 72236424 144472848