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48260352 = 283747191
BaseRepresentation
bin1011100000011…
…0010100000000
310100210212202110
42320012110000
544323312402
64442215320
71124130510
oct270062400
9110725673
1048260352
1125272798
12141b4540
139cc962a
1465a3840
15438456c
hex2e06500

48260352 has 144 divisors (see below), whose sum is σ = 150700032. Its totient is φ = 13424640.

The previous prime is 48260351. The next prime is 48260357. The reversal of 48260352 is 25306284.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48260351) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 252577 + ... + 252767.

It is an arithmetic number, because the mean of its divisors is an integer number (1046528).

Almost surely, 248260352 is an apocalyptic number.

48260352 is a gapful number since it is divisible by the number (42) 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 48260352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75350016).

48260352 is an abundant number, since it is smaller than the sum of its proper divisors (102439680).

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

48260352 is a wasteful number, since it uses less digits than its factorization.

48260352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 48260352 is about 6946.9671080264. The cubic root of 48260352 is about 364.0800049557.

The spelling of 48260352 in words is "forty-eight million, two hundred sixty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 47 48 56 64 84 94 96 112 128 141 168 188 191 192 224 256 282 329 336 376 382 384 448 564 573 658 672 752 764 768 896 987 1128 1146 1316 1337 1344 1504 1528 1792 1974 2256 2292 2632 2674 2688 3008 3056 3948 4011 4512 4584 5264 5348 5376 6016 6112 7896 8022 8977 9024 9168 10528 10696 12032 12224 15792 16044 17954 18048 18336 21056 21392 24448 26931 31584 32088 35908 36096 36672 42112 42784 48896 53862 62839 63168 64176 71816 73344 84224 85568 107724 125678 126336 128352 143632 146688 171136 188517 215448 251356 252672 256704 287264 342272 377034 430896 502712 513408 574528 754068 861792 1005424 1026816 1149056 1508136 1723584 2010848 2298112 3016272 3447168 4021696 6032544 6894336 8043392 12065088 16086784 24130176 48260352