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145442432 = 2723127389
BaseRepresentation
bin10001010101101…
…00011010000000
3101010200020111202
420222310122000
5244213124212
622233200332
73414145262
oct1052643200
9333606452
10145442432
117510a063
12408600a8
1324194615
141545db32
15cb7e0c2
hex8ab4680

145442432 has 64 divisors (see below), whose sum is σ = 305510400. Its totient is φ = 68834304.

The previous prime is 145442431. The next prime is 145442443. The reversal of 145442432 is 234244541.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 145442395 and 145442404.

It is not an unprimeable number, because it can be changed into a prime (145442431) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 373694 + ... + 374082.

It is an arithmetic number, because the mean of its divisors is an integer number (4773600).

Almost surely, 2145442432 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 145442432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152755200).

145442432 is an abundant number, since it is smaller than the sum of its proper divisors (160067968).

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

145442432 is a wasteful number, since it uses less digits than its factorization.

145442432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 541 counting only the distinct ones).

The product of its digits is 15360, while the sum is 29.

The square root of 145442432 is about 12059.9515753588. The cubic root of 145442432 is about 525.8925792773.

Adding to 145442432 its reverse (234244541), we get a palindrome (379686973).

The spelling of 145442432 in words is "one hundred forty-five million, four hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 23 32 46 64 92 127 128 184 254 368 389 508 736 778 1016 1472 1556 2032 2921 2944 3112 4064 5842 6224 8128 8947 11684 12448 16256 17894 23368 24896 35788 46736 49403 49792 71576 93472 98806 143152 186944 197612 286304 373888 395224 572608 790448 1136269 1145216 1580896 2272538 3161792 4545076 6323584 9090152 18180304 36360608 72721216 145442432