Search a number
-
+
145447424 = 29614657
BaseRepresentation
bin10001010101101…
…01101000000000
3101010200111100122
420222311220000
5244213304144
622233235412
73414165653
oct1052655000
9333614318
10145447424
1175112891
1240862b68
1324196985
141546189a
15cb807ee
hex8ab5a00

145447424 has 40 divisors (see below), whose sum is σ = 295438308. Its totient is φ = 71516160.

The previous prime is 145447403. The next prime is 145447429. The reversal of 145447424 is 424744541.

It can be written as a sum of positive squares in 2 ways, for example, as 109830400 + 35617024 = 10480^2 + 5968^2 .

It is not an unprimeable number, because it can be changed into a prime (145447429) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 28904 + ... + 33560.

Almost surely, 2145447424 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 145447424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147719154).

145447424 is an abundant number, since it is smaller than the sum of its proper divisors (149990884).

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

145447424 is an frugal number, since it uses more digits than its factorization.

145447424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4736 (or 4720 counting only the distinct ones).

The product of its digits is 71680, while the sum is 35.

The square root of 145447424 is about 12060.1585395881. The cubic root of 145447424 is about 525.8985959206.

The spelling of 145447424 in words is "one hundred forty-five million, four hundred forty-seven thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 61 64 122 128 244 256 488 512 976 1952 3904 4657 7808 9314 15616 18628 31232 37256 74512 149024 284077 298048 568154 596096 1136308 1192192 2272616 2384384 4545232 9090464 18180928 36361856 72723712 145447424