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48657408 = 210347337
BaseRepresentation
bin1011100110011…
…1010000000000
310101120001102020
42321213100000
544424014113
64454521440
71130403222
oct271472000
9111501366
1048657408
1125514038
1214366280
13a108287
146668412
154412023
hex2e67400

48657408 has 88 divisors (see below), whose sum is σ = 132842112. Its totient is φ = 15826944.

The previous prime is 48657407. The next prime is 48657419. The reversal of 48657408 is 80475684.

It is a self number, because there is not a number n which added to its sum of digits gives 48657408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48657403) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 144216 + ... + 144552.

Almost surely, 248657408 is an apocalyptic number.

48657408 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 48657408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66421056).

48657408 is an abundant number, since it is smaller than the sum of its proper divisors (84184704).

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

48657408 is a wasteful number, since it uses less digits than its factorization.

48657408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The square root of 48657408 is about 6975.4862196122. The cubic root of 48657408 is about 365.0757533392.

The spelling of 48657408 in words is "forty-eight million, six hundred fifty-seven thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 128 141 188 192 256 282 337 376 384 512 564 674 752 768 1011 1024 1128 1348 1504 1536 2022 2256 2696 3008 3072 4044 4512 5392 6016 8088 9024 10784 12032 15839 16176 18048 21568 24064 31678 32352 36096 43136 47517 48128 63356 64704 72192 86272 95034 126712 129408 144384 172544 190068 253424 258816 345088 380136 506848 517632 760272 1013696 1035264 1520544 2027392 3041088 4054784 6082176 8109568 12164352 16219136 24328704 48657408