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4396398048 = 253274746399
BaseRepresentation
bin1000001100000101…
…11011010111100000
3102100101121011100100
410012002323113200
533000434214143
62004130022400
7213642524010
oct40602732740
912311534310
104396398048
111956719a19
12a28417a00
13550aa1683
142d9c5bc40
151aae766d3
hex1060bb5e0

4396398048 has 144 divisors (see below), whose sum is σ = 14592614400. Its totient is φ = 1229361408.

The previous prime is 4396398037. The next prime is 4396398103. The reversal of 4396398048 is 8408936934.

It is a happy number.

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

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 4396397985 and 4396398003.

It is a congruent number.

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, 71553 + ... + 117951.

It is an arithmetic number, because the mean of its divisors is an integer number (101337600).

Almost surely, 24396398048 is an apocalyptic number.

4396398048 is a gapful number since it is divisible by the number (48) 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 4396398048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7296307200).

4396398048 is an abundant number, since it is smaller than the sum of its proper divisors (10196216352).

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

4396398048 is a wasteful number, since it uses less digits than its factorization.

4396398048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46469 (or 46458 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The square root of 4396398048 is about 66305.3395134962. The cubic root of 4396398048 is about 1638.1952742993.

The spelling of 4396398048 in words is "four billion, three hundred ninety-six million, three hundred ninety-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 47 48 56 63 72 84 94 96 112 126 141 144 168 188 224 252 282 288 329 336 376 423 504 564 658 672 752 846 987 1008 1128 1316 1504 1692 1974 2016 2256 2632 2961 3384 3948 4512 5264 5922 6768 7896 10528 11844 13536 15792 23688 31584 46399 47376 92798 94752 139197 185596 278394 324793 371192 417591 556788 649586 742384 835182 974379 1113576 1299172 1484768 1670364 1948758 2180753 2227152 2598344 2923137 3340728 3897516 4361506 4454304 5196688 5846274 6542259 6681456 7795032 8723012 10393376 11692548 13084518 13362912 15265271 15590064 17446024 19626777 23385096 26169036 30530542 31180128 34892048 39253554 45795813 46770192 52338072 61061084 69784096 78507108 91591626 93540384 104676144 122122168 137387439 157014216 183183252 209352288 244244336 274774878 314028432 366366504 488488672 549549756 628056864 732733008 1099099512 1465466016 2198199024 4396398048