[go: up one dir, main page]

Search a number
-
+
145580248 = 231117234231
BaseRepresentation
bin10001010110101…
…10000011011000
3101010221020120001
420223112003120
5244232031443
622240142344
73415261132
oct1053260330
9333836501
10145580248
11751a3660
12409079b4
1324212278
1415498052
15cba9d4d
hex8ad60d8

145580248 has 64 divisors (see below), whose sum is σ = 329080320. Its totient is φ = 59558400.

The previous prime is 145580209. The next prime is 145580249. The reversal of 145580248 is 842085541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145580249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32293 + ... + 36523.

It is an arithmetic number, because the mean of its divisors is an integer number (5141880).

Almost surely, 2145580248 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 145580248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164540160).

145580248 is an abundant number, since it is smaller than the sum of its proper divisors (183500072).

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

145580248 is a wasteful number, since it uses less digits than its factorization.

145580248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4288 (or 4284 counting only the distinct ones).

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

The square root of 145580248 is about 12065.6640099084. The cubic root of 145580248 is about 526.0586324498.

The spelling of 145580248 in words is "one hundred forty-five million, five hundred eighty thousand, two hundred forty-eight".

Divisors: 1 2 4 8 11 17 22 23 34 44 46 68 88 92 136 184 187 253 374 391 506 748 782 1012 1496 1564 2024 3128 4231 4301 8462 8602 16924 17204 33848 34408 46541 71927 93082 97313 143854 186164 194626 287708 372328 389252 575416 778504 791197 1070443 1582394 1654321 2140886 3164788 3308642 4281772 6329576 6617284 8563544 13234568 18197531 36395062 72790124 145580248