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145624401 = 32133593467
BaseRepresentation
bin10001010111000…
…00110101010001
3101011000111010100
420223200311101
5244234440101
622241123013
73415533636
oct1053406521
9334014110
10145624401
117522384a
1240929469
13242293b0
14154aa18d
15cbb7e86
hex8ae0d51

145624401 has 24 divisors (see below), whose sum is σ = 227223360. Its totient is φ = 89339616.

The previous prime is 145624361. The next prime is 145624403. The reversal of 145624401 is 104426541.

It is not a de Polignac number, because 145624401 - 219 = 145100113 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (145624403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40270 + ... + 43736.

It is an arithmetic number, because the mean of its divisors is an integer number (9467640).

Almost surely, 2145624401 is an apocalyptic number.

It is an amenable number.

145624401 is a deficient number, since it is larger than the sum of its proper divisors (81598959).

145624401 is a wasteful number, since it uses less digits than its factorization.

145624401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3845 (or 3842 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 145624401 is about 12067.4935674315. The cubic root of 145624401 is about 526.1118098080. Note that the first 3 decimals are identical.

The spelling of 145624401 in words is "one hundred forty-five million, six hundred twenty-four thousand, four hundred one".

Divisors: 1 3 9 13 39 117 359 1077 3231 3467 4667 10401 14001 31203 42003 45071 135213 405639 1244653 3733959 11201877 16180489 48541467 145624401