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145853946 = 236731461
BaseRepresentation
bin10001011000110…
…00110111111010
3101011110011000000
420230120313322
5244314311241
622250053430
73420511110
oct1054306772
9334404000
10145853946
1175370257
1240a1a276
13242a9a14
1415529ab0
15cc10eb6
hex8b18dfa

145853946 has 112 divisors (see below), whose sum is σ = 387813888. Its totient is φ = 40240800.

The previous prime is 145853941. The next prime is 145854031. The reversal of 145853946 is 649358541.

It is not an unprimeable number, because it can be changed into a prime (145853941) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 316156 + ... + 316616.

It is an arithmetic number, because the mean of its divisors is an integer number (3462624).

Almost surely, 2145853946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145853946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193906944).

145853946 is an abundant number, since it is smaller than the sum of its proper divisors (241959942).

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

145853946 is an equidigital number, since it uses as much as digits as its factorization.

145853946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 504 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 145853946 is about 12077.0007038172. Note that the first 3 decimals coincide. The cubic root of 145853946 is about 526.3880980678.

The spelling of 145853946 in words is "one hundred forty-five million, eight hundred fifty-three thousand, nine hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 31 42 54 62 63 81 93 126 162 186 189 217 243 279 378 434 461 486 558 567 651 729 837 922 1134 1302 1383 1458 1674 1701 1953 2511 2766 3227 3402 3906 4149 5022 5103 5859 6454 7533 8298 9681 10206 11718 12447 14291 15066 17577 19362 22599 24894 28582 29043 35154 37341 42873 45198 52731 58086 74682 85746 87129 100037 105462 112023 128619 158193 174258 200074 224046 257238 261387 300111 316386 336069 385857 522774 600222 672138 771714 784161 900333 1157571 1568322 1800666 2315142 2352483 2700999 3472713 4704966 5401998 6945426 8102997 10418139 16205994 20836278 24308991 48617982 72926973 145853946