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145484976 = 243713191753
BaseRepresentation
bin10001010101111…
…10110010110000
3101010202101212110
420222332302300
5244221004401
622234125320
73414413310
oct1052766260
9333671773
10145484976
117513901a
1240880840
13241aaab0
1415471440
15cb8b9d6
hex8abecb0

145484976 has 160 divisors (see below), whose sum is σ = 487191040. Its totient is φ = 36329472.

The previous prime is 145484917. The next prime is 145484987. The reversal of 145484976 is 679484541.

145484976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82116 + ... + 83868.

It is an arithmetic number, because the mean of its divisors is an integer number (3044944).

Almost surely, 2145484976 is an apocalyptic number.

145484976 is a gapful number since it is divisible by the number (16) 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 145484976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243595520).

145484976 is an abundant number, since it is smaller than the sum of its proper divisors (341706064).

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

145484976 is a wasteful number, since it uses less digits than its factorization.

145484976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1803 (or 1797 counting only the distinct ones).

The product of its digits is 967680, while the sum is 48.

The square root of 145484976 is about 12061.7153009014. The cubic root of 145484976 is about 525.9438513222.

The spelling of 145484976 in words is "one hundred forty-five million, four hundred eighty-four thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 19 21 24 26 28 38 39 42 48 52 56 57 76 78 84 91 104 112 114 133 152 156 168 182 208 228 247 266 273 304 312 336 364 399 456 494 532 546 624 728 741 798 912 988 1064 1092 1456 1482 1596 1729 1753 1976 2128 2184 2964 3192 3458 3506 3952 4368 5187 5259 5928 6384 6916 7012 10374 10518 11856 12271 13832 14024 20748 21036 22789 24542 27664 28048 33307 36813 41496 42072 45578 49084 66614 68367 73626 82992 84144 91156 98168 99921 133228 136734 147252 159523 182312 196336 199842 233149 266456 273468 294504 319046 364624 399684 432991 466298 478569 532912 546936 589008 638092 699447 799368 865982 932596 957138 1093872 1276184 1298973 1398894 1598736 1731964 1865192 1914276 2552368 2597946 2797788 3030937 3463928 3730384 3828552 5195892 5595576 6061874 6927856 7657104 9092811 10391784 11191152 12123748 18185622 20783568 24247496 36371244 48494992 72742488 145484976