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147032424 = 233271122411
BaseRepresentation
bin10001100001110…
…00100101101000
3101020200000120100
420300320211220
5300120014144
622331225400
73433516650
oct1060704550
9336600510
10147032424
1175aa5700
12412a8260
1324600246
1415755360
15cd95269
hex8c38968

147032424 has 144 divisors (see below), whose sum is σ = 500441760. Its totient is φ = 38174400.

The previous prime is 147032419. The next prime is 147032449. The reversal of 147032424 is 424230741.

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 35 ways as a sum of consecutive naturals, for example, 59779 + ... + 62189.

It is an arithmetic number, because the mean of its divisors is an integer number (3475290).

Almost surely, 2147032424 is an apocalyptic number.

147032424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 147032424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250220880).

147032424 is an abundant number, since it is smaller than the sum of its proper divisors (353409336).

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

147032424 is a wasteful number, since it uses less digits than its factorization.

147032424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2452 (or 2434 counting only the distinct ones).

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

The square root of 147032424 is about 12125.6927224798. The cubic root of 147032424 is about 527.8020090994.

It can be divided in two parts, 147032 and 424, that added together give a square (147456 = 3842).

The spelling of 147032424 in words is "one hundred forty-seven million, thirty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 28 33 36 42 44 56 63 66 72 77 84 88 99 121 126 132 154 168 198 231 242 252 264 308 363 396 462 484 504 616 693 726 792 847 924 968 1089 1386 1452 1694 1848 2178 2411 2541 2772 2904 3388 4356 4822 5082 5544 6776 7233 7623 8712 9644 10164 14466 15246 16877 19288 20328 21699 26521 28932 30492 33754 43398 50631 53042 57864 60984 67508 79563 86796 101262 106084 135016 151893 159126 173592 185647 202524 212168 238689 291731 303786 318252 371294 405048 477378 556941 583462 607572 636504 742588 875193 954756 1113882 1166924 1215144 1485176 1670823 1750386 1909512 2042117 2227764 2333848 2625579 3341646 3500772 4084234 4455528 5251158 6126351 6683292 7001544 8168468 10502316 12252702 13366584 16336936 18379053 21004632 24505404 36758106 49010808 73516212 147032424