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48749568 = 210372267
BaseRepresentation
bin1011100111110…
…1110000000000
310101201201211120
42321331300000
544434441233
64500512240
71131236010
oct271756000
9111651746
1048749568
11255772aa
12143ab680
13a13b1ca
14668dc40
15442e4b3
hex2e7dc00

48749568 has 88 divisors (see below), whose sum is σ = 148563072. Its totient is φ = 13922304.

The previous prime is 48749563. The next prime is 48749579. The reversal of 48749568 is 86594784.

It is a self number, because there is not a number n which added to its sum of digits gives 48749568.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48749563) 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, 20371 + ... + 22637.

Almost surely, 248749568 is an apocalyptic number.

48749568 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 48749568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74281536).

48749568 is an abundant number, since it is smaller than the sum of its proper divisors (99813504).

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

48749568 is a wasteful number, since it uses less digits than its factorization.

48749568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2297 (or 2279 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 51.

The square root of 48749568 is about 6982.0890856534. The cubic root of 48749568 is about 365.3060996387.

The spelling of 48749568 in words is "forty-eight million, seven hundred forty-nine thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 2267 2688 3072 3584 4534 5376 6801 7168 9068 10752 13602 15869 18136 21504 27204 31738 36272 47607 54408 63476 72544 95214 108816 126952 145088 190428 217632 253904 290176 380856 435264 507808 580352 761712 870528 1015616 1160704 1523424 1741056 2031232 2321408 3046848 3482112 4062464 6093696 6964224 8124928 12187392 16249856 24374784 48749568