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145326456 = 233211281653
BaseRepresentation
bin10001010100110…
…00000101111000
3101010110100102100
420222120011320
5244200421311
622230503400
73413153202
oct1052300570
9333410370
10145326456
117503aa10
1240804b60
13241538b2
141542d772
15cb59a56
hex8a98178

145326456 has 96 divisors (see below), whose sum is σ = 431561520. Its totient is φ = 43814400.

The previous prime is 145326451. The next prime is 145326487. The reversal of 145326456 is 654623541.

145326456 is a `hidden beast` number, since 1 + 4 + 5 + 3 + 2 + 645 + 6 = 666.

It is a super-2 number, since 2×1453264562 = 42239557627039872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 145326456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145326451) 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 23 ways as a sum of consecutive naturals, for example, 222226 + ... + 222878.

Almost surely, 2145326456 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 145326456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215780760).

145326456 is an abundant number, since it is smaller than the sum of its proper divisors (286235064).

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

145326456 is a wasteful number, since it uses less digits than its factorization.

145326456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 957 (or 950 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 145326456 is about 12055.1423052571. The cubic root of 145326456 is about 525.7527596122.

Adding to 145326456 its reverse (654623541), we get a palindrome (799949997).

The spelling of 145326456 in words is "one hundred forty-five million, three hundred twenty-six thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 281 396 562 653 792 843 1124 1306 1686 1959 2248 2529 2612 3091 3372 3918 5058 5224 5877 6182 6744 7183 7836 9273 10116 11754 12364 14366 15672 18546 20232 21549 23508 24728 27819 28732 37092 43098 47016 55638 57464 64647 74184 86196 111276 129294 172392 183493 222552 258588 366986 517176 550479 733972 1100958 1467944 1651437 2018423 2201916 3302874 4036846 4403832 6055269 6605748 8073692 12110538 13211496 16147384 18165807 24221076 36331614 48442152 72663228 145326456