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145627404 = 223131994691
BaseRepresentation
bin10001010111000…
…01100100001100
3101011000122020120
420223201210030
5244240034104
622241144540
73415545456
oct1053414414
9334018216
10145627404
117522602a
124092b150
132422a880
14154ab2d6
15cbb8cd9
hex8ae190c

145627404 has 48 divisors (see below), whose sum is σ = 367852800. Its totient is φ = 44573760.

The previous prime is 145627403. The next prime is 145627409. The reversal of 145627404 is 404726541.

It is not an unprimeable number, because it can be changed into a prime (145627403) 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, 28699 + ... + 33389.

It is an arithmetic number, because the mean of its divisors is an integer number (7663600).

Almost surely, 2145627404 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 145627404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183926400).

145627404 is an abundant number, since it is smaller than the sum of its proper divisors (222225396).

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

145627404 is a wasteful number, since it uses less digits than its factorization.

145627404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4910 (or 4908 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 145627404 is about 12067.6179919651. The cubic root of 145627404 is about 526.1154261958.

The spelling of 145627404 in words is "one hundred forty-five million, six hundred twenty-seven thousand, four hundred four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 199 398 597 796 1194 2388 2587 4691 5174 7761 9382 10348 14073 15522 18764 28146 31044 56292 60983 121966 182949 243932 365898 731796 933509 1867018 2800527 3734036 5601054 11202108 12135617 24271234 36406851 48542468 72813702 145627404