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5413423232 = 27737283577
BaseRepresentation
bin1010000101010101…
…00100100010000000
3111222021022101121202
411002222210202000
542041314020412
62253100240332
7251102224010
oct50252444200
914867271552
105413423232
112328810aa8
121070b400a8
136836bcc19
14394d5bc40
1521a3bc3c2
hex142aa4880

5413423232 has 128 divisors (see below), whose sum is σ = 12725063040. Its totient is φ = 2245459968.

The previous prime is 5413423219. The next prime is 5413423241. The reversal of 5413423232 is 2323243145.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 5413423195 and 5413423204.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9381728 + ... + 9382304.

It is an arithmetic number, because the mean of its divisors is an integer number (99414555).

Almost surely, 25413423232 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 5413423232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6362531520).

5413423232 is an abundant number, since it is smaller than the sum of its proper divisors (7311639808).

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

5413423232 is a wasteful number, since it uses less digits than its factorization.

5413423232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918 (or 906 counting only the distinct ones).

The product of its digits is 17280, while the sum is 29.

The square root of 5413423232 is about 73575.9691203589. The cubic root of 5413423232 is about 1755.8631351931.

Adding to 5413423232 its reverse (2323243145), we get a palindrome (7736666377).

The spelling of 5413423232 in words is "five billion, four hundred thirteen million, four hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 64 74 112 128 148 224 259 283 296 448 518 566 577 592 896 1036 1132 1154 1184 1981 2072 2264 2308 2368 3962 4039 4144 4528 4616 4736 7924 8078 8288 9056 9232 10471 15848 16156 16576 18112 18464 20942 21349 31696 32312 33152 36224 36928 41884 42698 63392 64624 73297 73856 83768 85396 126784 129248 146594 149443 163291 167536 170792 253568 258496 293188 298886 326582 335072 341584 516992 586376 597772 653164 670144 683168 1143037 1172752 1195544 1306328 1340288 1366336 2286074 2345504 2391088 2612656 2732672 4572148 4691008 4782176 5225312 6041767 9144296 9382016 9564352 10450624 12083534 18288592 19128704 20901248 24167068 36577184 42292369 48334136 73154368 84584738 96668272 146308736 169169476 193336544 338338952 386673088 676677904 773346176 1353355808 2706711616 5413423232