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48448404 = 223219193367
BaseRepresentation
bin1011100011010…
…0001110010100
310101011102201100
42320310032110
544400322104
64450230100
71125542664
oct270641624
9111142640
1048448404
1125391004
1214285330
13a0640c4
1466121a4
1543c0139
hex2e34394

48448404 has 72 divisors (see below), whose sum is σ = 129933440. Its totient is φ = 15178752.

The previous prime is 48448403. The next prime is 48448469. The reversal of 48448404 is 40484484.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48448403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131829 + ... + 132195.

Almost surely, 248448404 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 48448404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64966720).

48448404 is an abundant number, since it is smaller than the sum of its proper divisors (81485036).

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

48448404 is a wasteful number, since it uses less digits than its factorization.

48448404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

The square root of 48448404 is about 6960.4887759410. The cubic root of 48448404 is about 364.5522852283.

The spelling of 48448404 in words is "forty-eight million, four hundred forty-eight thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 193 228 342 367 386 579 684 734 772 1101 1158 1468 1737 2202 2316 3303 3474 3667 4404 6606 6948 6973 7334 11001 13212 13946 14668 20919 22002 27892 33003 41838 44004 62757 66006 70831 83676 125514 132012 141662 212493 251028 283324 424986 637479 849972 1274958 1345789 2549916 2691578 4037367 5383156 8074734 12112101 16149468 24224202 48448404