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145085248 = 2671159499
BaseRepresentation
bin10001010010111…
…01001101000000
3101010000002112201
420221131031000
5244120211443
622221402544
73411130030
oct1051351500
9333002481
10145085248
1174995770
1240709454
132409ab79
14153a98c0
15cb0d34d
hex8a5d340

145085248 has 112 divisors (see below), whose sum is σ = 365760000. Its totient is φ = 55457280.

The previous prime is 145085243. The next prime is 145085249. The reversal of 145085248 is 842580541.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145085243) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 290503 + ... + 291001.

Almost surely, 2145085248 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 145085248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182880000).

145085248 is an abundant number, since it is smaller than the sum of its proper divisors (220674752).

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

145085248 is a wasteful number, since it uses less digits than its factorization.

145085248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 37.

The square root of 145085248 is about 12045.1337892113. The cubic root of 145085248 is about 525.4617229090.

The spelling of 145085248 in words is "one hundred forty-five million, eighty-five thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 59 64 77 88 112 118 154 176 224 236 308 352 413 448 472 499 616 649 704 826 944 998 1232 1298 1652 1888 1996 2464 2596 3304 3493 3776 3992 4543 4928 5192 5489 6608 6986 7984 9086 10384 10978 13216 13972 15968 18172 20768 21956 26432 27944 29441 31936 36344 38423 41536 43912 55888 58882 72688 76846 87824 111776 117764 145376 153692 175648 206087 223552 235528 290752 307384 323851 351296 412174 471056 614768 647702 824348 942112 1229536 1295404 1648696 1884224 2266957 2459072 2590808 3297392 4533914 5181616 6594784 9067828 10363232 13189568 18135656 20726464 36271312 72542624 145085248