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144235872 = 25321124139
BaseRepresentation
bin10001001100011…
…01110101100000
3101001101221102100
420212031311200
5243411021442
622151250400
73400661514
oct1046156540
9331357370
10144235872
1174465600
1240379a00
1323b61391
1415228144
15c9e184c
hex898dd60

144235872 has 108 divisors (see below), whose sum is σ = 450957780. Its totient is φ = 43697280.

The previous prime is 144235867. The next prime is 144235907. The reversal of 144235872 is 278532441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 32779 + ... + 36917.

It is an arithmetic number, because the mean of its divisors is an integer number (4175535).

Almost surely, 2144235872 is an apocalyptic number.

144235872 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 144235872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225478890).

144235872 is an abundant number, since it is smaller than the sum of its proper divisors (306721908).

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

144235872 is a wasteful number, since it uses less digits than its factorization.

144235872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4177 (or 4155 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 144235872 is about 12009.8239787267. The cubic root of 144235872 is about 524.4343076871.

The spelling of 144235872 in words is "one hundred forty-four million, two hundred thirty-five thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 121 132 144 176 198 242 264 288 352 363 396 484 528 726 792 968 1056 1089 1452 1584 1936 2178 2904 3168 3872 4139 4356 5808 8278 8712 11616 12417 16556 17424 24834 33112 34848 37251 45529 49668 66224 74502 91058 99336 132448 136587 149004 182116 198672 273174 298008 364232 397344 409761 500819 546348 596016 728464 819522 1001638 1092696 1192032 1456928 1502457 1639044 2003276 2185392 3004914 3278088 4006552 4370784 4507371 6009828 6556176 8013104 9014742 12019656 13112352 16026208 18029484 24039312 36058968 48078624 72117936 144235872