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48607936 = 2613371579
BaseRepresentation
bin1011100101101…
…1001011000000
310101110112112221
42321123023000
544420423221
64453500424
71130106046
oct271331300
9111415487
1048607936
112548a953
1214341714
13a0bb8c0
146654396
154402541
hex2e5b2c0

48607936 has 56 divisors (see below), whose sum is σ = 106751120. Its totient is φ = 21814272.

The previous prime is 48607927. The next prime is 48607991. The reversal of 48607936 is 63970684.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 48607892 and 48607901.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29995 + ... + 31573.

It is an arithmetic number, because the mean of its divisors is an integer number (1906270).

Almost surely, 248607936 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 48607936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53375560).

48607936 is an abundant number, since it is smaller than the sum of its proper divisors (58143184).

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

48607936 is a wasteful number, since it uses less digits than its factorization.

48607936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1641 (or 1631 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 43.

The square root of 48607936 is about 6971.9391850474. The cubic root of 48607936 is about 364.9519821739.

The spelling of 48607936 in words is "forty-eight million, six hundred seven thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 32 37 52 64 74 104 148 208 296 416 481 592 832 962 1184 1579 1924 2368 3158 3848 6316 7696 12632 15392 20527 25264 30784 41054 50528 58423 82108 101056 116846 164216 233692 328432 467384 656864 759499 934768 1313728 1518998 1869536 3037996 3739072 6075992 12151984 24303968 48607936