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48607728 = 24313611277
BaseRepresentation
bin1011100101101…
…1000111110000
310101110112021020
42321123013300
544420421403
64453455440
71130105331
oct271330760
9111415236
1048607728
112548a784
1214341580
13a0bb790
146654288
154402453
hex2e5b1f0

48607728 has 80 divisors (see below), whose sum is σ = 137553696. Its totient is φ = 14699520.

The previous prime is 48607703. The next prime is 48607733. The reversal of 48607728 is 82770684.

It is a super-2 number, since 2×486077282 = 4725422442643968, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 48607728.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37426 + ... + 38702.

Almost surely, 248607728 is an apocalyptic number.

48607728 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 48607728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68776848).

48607728 is an abundant number, since it is smaller than the sum of its proper divisors (88945968).

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

48607728 is a wasteful number, since it uses less digits than its factorization.

48607728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1362 (or 1356 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The square root of 48607728 is about 6971.9242680913. The cubic root of 48607728 is about 364.9514616134.

The spelling of 48607728 in words is "forty-eight million, six hundred seven thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 61 78 104 122 156 183 208 244 312 366 488 624 732 793 976 1277 1464 1586 2379 2554 2928 3172 3831 4758 5108 6344 7662 9516 10216 12688 15324 16601 19032 20432 30648 33202 38064 49803 61296 66404 77897 99606 132808 155794 199212 233691 265616 311588 398424 467382 623176 796848 934764 1012661 1246352 1869528 2025322 3037983 3739056 4050644 6075966 8101288 12151932 16202576 24303864 48607728