Search a number
-
+
147813456 = 24372331617
BaseRepresentation
bin10001100111101…
…11010001010000
3101022010200221110
420303313101100
5300320012311
622400053320
73443252010
oct1063672120
9338120843
10147813456
117648948a
1241604240
13248148ab
14158b9c40
15ce9b8a6
hex8cf7450

147813456 has 160 divisors (see below), whose sum is σ = 470827008. Its totient is φ = 39029760.

The previous prime is 147813443. The next prime is 147813461. The reversal of 147813456 is 654318741.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 239260 + ... + 239876.

Almost surely, 2147813456 is an apocalyptic number.

147813456 is a gapful number since it is divisible by the number (16) 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 147813456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235413504).

147813456 is an abundant number, since it is smaller than the sum of its proper divisors (323013552).

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

147813456 is a wasteful number, since it uses less digits than its factorization.

147813456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 683 counting only the distinct ones).

The product of its digits is 80640, while the sum is 39.

The square root of 147813456 is about 12157.8557319948. The cubic root of 147813456 is about 528.7349155419.

The spelling of 147813456 in words is "one hundred forty-seven million, eight hundred thirteen thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 31 42 46 48 56 62 69 84 92 93 112 124 138 161 168 184 186 217 248 276 322 336 368 372 434 483 496 552 617 644 651 713 744 868 966 1104 1234 1288 1302 1426 1488 1736 1851 1932 2139 2468 2576 2604 2852 3472 3702 3864 4278 4319 4936 4991 5208 5704 7404 7728 8556 8638 9872 9982 10416 11408 12957 14191 14808 14973 17112 17276 19127 19964 25914 28382 29616 29946 34224 34552 38254 39928 42573 51828 56764 57381 59892 69104 76508 79856 85146 99337 103656 113528 114762 119784 133889 153016 170292 198674 207312 227056 229524 239568 267778 298011 306032 340584 397348 401667 439921 459048 535556 596022 681168 794696 803334 879842 918096 1071112 1192044 1319763 1589392 1606668 1759684 2142224 2384088 2639526 3079447 3213336 3519368 4768176 5279052 6158894 6426672 7038736 9238341 10558104 12317788 18476682 21116208 24635576 36953364 49271152 73906728 147813456