Search a number
-
+
147302424 = 2332831572
BaseRepresentation
bin10001100011110…
…10100000011000
3101021011201221100
420301322200120
5300202134144
622341111400
73436023063
oct1061724030
9337151840
10147302424
117616a545
12413b8560
13246960c9
14157c58da
15cdea269
hex8c7a818

147302424 has 72 divisors (see below), whose sum is σ = 406338660. Its totient is φ = 48200256.

The previous prime is 147302417. The next prime is 147302431. The reversal of 147302424 is 424203741.

It is an interprime number because it is at equal distance from previous prime (147302417) and next prime (147302431).

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 938154 + ... + 938310.

Almost surely, 2147302424 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 147302424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203169330).

147302424 is an abundant number, since it is smaller than the sum of its proper divisors (259036236).

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

147302424 is a wasteful number, since it uses less digits than its factorization.

147302424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 147302424 is about 12136.8210005751. The cubic root of 147302424 is about 528.1248843714.

The spelling of 147302424 in words is "one hundred forty-seven million, three hundred two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 83 157 166 249 314 332 471 498 628 664 747 942 996 1256 1413 1494 1884 1992 2826 2988 3768 5652 5976 11304 13031 24649 26062 39093 49298 52124 73947 78186 98596 104248 117279 147894 156372 197192 221841 234558 295788 312744 443682 469116 591576 887364 938232 1774728 2045867 4091734 6137601 8183468 12275202 16366936 18412803 24550404 36825606 49100808 73651212 147302424