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145828648 = 237192359101
BaseRepresentation
bin10001011000100…
…10101100101000
3101011101212022001
420230102230220
5244313004043
622245340344
73420344260
oct1054225450
9334355261
10145828648
1175353249
1240a076b4
132429b354
14155207a0
15cc0874d
hex8b12b28

145828648 has 128 divisors (see below), whose sum is σ = 352512000. Its totient is φ = 55123200.

The previous prime is 145828637. The next prime is 145828651. The reversal of 145828648 is 846828541.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a junction number, because it is equal to n+sod(n) for n = 145828598 and 145828607.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1443798 + ... + 1443898.

It is an arithmetic number, because the mean of its divisors is an integer number (2754000).

Almost surely, 2145828648 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 145828648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176256000).

145828648 is an abundant number, since it is smaller than the sum of its proper divisors (206683352).

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

145828648 is a wasteful number, since it uses less digits than its factorization.

145828648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 211 counting only the distinct ones).

The product of its digits is 491520, while the sum is 46.

The square root of 145828648 is about 12075.9532957030. The cubic root of 145828648 is about 526.3576627443.

The spelling of 145828648 in words is "one hundred forty-five million, eight hundred twenty-eight thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 14 19 23 28 38 46 56 59 76 92 101 118 133 152 161 184 202 236 266 322 404 413 437 472 532 644 707 808 826 874 1064 1121 1288 1357 1414 1652 1748 1919 2242 2323 2714 2828 3059 3304 3496 3838 4484 4646 5428 5656 5959 6118 7676 7847 8968 9292 9499 10856 11918 12236 13433 15352 15694 16261 18584 18998 23836 24472 25783 26866 31388 32522 37996 41713 44137 47672 51566 53732 62776 65044 75992 83426 88274 103132 107464 113221 130088 137057 166852 176548 180481 206264 226442 274114 308959 333704 353096 360962 452884 548228 617918 721924 792547 905768 959399 1096456 1235836 1443848 1585094 1918798 2471672 2604083 3170188 3837596 5208166 6340376 7675192 10416332 18228581 20832664 36457162 72914324 145828648