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146424642 = 2373132421
BaseRepresentation
bin10001011101001…
…00001101000010
3101012112010211220
420232210031002
5244441042032
622310215510
73425406000
oct1056441502
9335463756
10146424642
1175720001
1241054596
1324449700
1415637a70
15ccc512c
hex8ba4342

146424642 has 96 divisors (see below), whose sum is σ = 370684800. Its totient is φ = 38525760.

The previous prime is 146424623. The next prime is 146424643. The reversal of 146424642 is 246424641.

It is not an unprimeable number, because it can be changed into a prime (146424643) 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 47 ways as a sum of consecutive naturals, for example, 347592 + ... + 348012.

It is an arithmetic number, because the mean of its divisors is an integer number (3861300).

Almost surely, 2146424642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146424642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185342400).

146424642 is an abundant number, since it is smaller than the sum of its proper divisors (224260158).

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

146424642 is a wasteful number, since it uses less digits than its factorization.

146424642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 446 counting only the distinct ones).

The product of its digits is 36864, while the sum is 33.

The square root of 146424642 is about 12100.6050261960. The cubic root of 146424642 is about 527.0737534307.

Subtracting 146424642 from its reverse (246424641), we obtain a palindrome (99999999).

It can be divided in two parts, 1464 and 24642, that added together give a triangular number (26106 = T228).

The spelling of 146424642 in words is "one hundred forty-six million, four hundred twenty-four thousand, six hundred forty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 49 78 91 98 147 169 182 273 294 338 343 421 507 546 637 686 842 1014 1029 1183 1263 1274 1911 2058 2366 2526 2947 3549 3822 4459 5473 5894 7098 8281 8841 8918 10946 13377 16419 16562 17682 20629 24843 26754 32838 38311 41258 49686 57967 61887 71149 76622 114933 115934 123774 142298 144403 173901 213447 229866 268177 288806 347802 426894 433209 498043 536354 804531 866418 996086 1494129 1609062 1877239 2988258 3486301 3754478 5631717 6972602 10458903 11263434 20917806 24404107 48808214 73212321 146424642