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145892368 = 2417599091
BaseRepresentation
bin10001011001000…
…10010000010000
3101011112002201001
420230202100100
5244322023433
622250551344
73421031116
oct1054422020
9334462631
10145892368
1175397106
1240a38554
13242c135b
1415539ab6
15cc1c57d
hex8b22410

145892368 has 40 divisors (see below), whose sum is σ = 304400160. Its totient is φ = 67484160.

The previous prime is 145892347. The next prime is 145892377. The reversal of 145892368 is 863298541.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11503 + ... + 20593.

It is an arithmetic number, because the mean of its divisors is an integer number (7610004).

Almost surely, 2145892368 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 145892368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152200080).

145892368 is an abundant number, since it is smaller than the sum of its proper divisors (158507792).

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

145892368 is a wasteful number, since it uses less digits than its factorization.

145892368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9175 (or 9169 counting only the distinct ones).

The product of its digits is 414720, while the sum is 46.

The square root of 145892368 is about 12078.5913085922. The cubic root of 145892368 is about 526.4343157817.

The spelling of 145892368 in words is "one hundred forty-five million, eight hundred ninety-two thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 17 34 59 68 118 136 236 272 472 944 1003 2006 4012 8024 9091 16048 18182 36364 72728 145456 154547 309094 536369 618188 1072738 1236376 2145476 2472752 4290952 8581904 9118273 18236546 36473092 72946184 145892368