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3232978848 = 2532114721713
BaseRepresentation
bin1100000010110011…
…0101011110100000
322100022102100020100
43000230311132200
523110120310343
61252445542400
7143054603211
oct30054653640
98308370210
103232978848
111409a28950
12762874a00
133c6a47648
14229531408
1513dc649d3
hexc0b357a0

3232978848 has 144 divisors (see below), whose sum is σ = 10243449216. Its totient is φ = 958801920.

The previous prime is 3232978829. The next prime is 3232978873. The reversal of 3232978848 is 8488792323.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 3232978794 and 3232978803.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138040 + ... + 159752.

It is an arithmetic number, because the mean of its divisors is an integer number (71135064).

Almost surely, 23232978848 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 3232978848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5121724608).

3232978848 is an abundant number, since it is smaller than the sum of its proper divisors (7010470368).

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

3232978848 is a wasteful number, since it uses less digits than its factorization.

3232978848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21787 (or 21776 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The square root of 3232978848 is about 56859.2899005958. The cubic root of 3232978848 is about 1478.6576043071.

The spelling of 3232978848 in words is "three billion, two hundred thirty-two million, nine hundred seventy-eight thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 47 48 66 72 88 94 96 99 132 141 144 176 188 198 264 282 288 352 376 396 423 517 528 564 752 792 846 1034 1056 1128 1504 1551 1584 1692 2068 2256 3102 3168 3384 4136 4512 4653 6204 6768 8272 9306 12408 13536 16544 18612 21713 24816 37224 43426 49632 65139 74448 86852 130278 148896 173704 195417 238843 260556 347408 390834 477686 521112 694816 716529 781668 955372 1020511 1042224 1433058 1563336 1910744 2041022 2084448 2149587 2866116 3061533 3126672 3821488 4082044 4299174 5732232 6123066 6253344 7642976 8164088 8598348 9184599 11225621 11464464 12246132 16328176 17196696 18369198 22451242 22928928 24492264 32656352 33676863 34393392 36738396 44902484 48984528 67353726 68786784 73476792 89804968 97969056 101030589 134707452 146953584 179609936 202061178 269414904 293907168 359219872 404122356 538829808 808244712 1077659616 1616489424 3232978848