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48938472 = 23331143479
BaseRepresentation
bin1011101010101…
…1110111101000
310102002022222000
42322223313220
5100012012342
64504531000
71132653522
oct272536750
9112068860
1048938472
1125696220
1214480a60
13a1a619b
1466dca12
15446a44c
hex2eabde8

48938472 has 128 divisors (see below), whose sum is σ = 152064000. Its totient is φ = 14454720.

The previous prime is 48938459. The next prime is 48938473. The reversal of 48938472 is 27483984.

It is not an unprimeable number, because it can be changed into a prime (48938473) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101929 + ... + 102407.

It is an arithmetic number, because the mean of its divisors is an integer number (1188000).

Almost surely, 248938472 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 48938472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76032000).

48938472 is an abundant number, since it is smaller than the sum of its proper divisors (103125528).

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

48938472 is a wasteful number, since it uses less digits than its factorization.

48938472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 538 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 48938472 is about 6995.6037623639. The cubic root of 48938472 is about 365.7773437467. Note that the first 3 decimals are identical.

The spelling of 48938472 in words is "forty-eight million, nine hundred thirty-eight thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 43 44 54 66 72 86 88 99 108 129 132 172 198 216 258 264 297 344 387 396 473 479 516 594 774 792 946 958 1032 1161 1188 1419 1437 1548 1892 1916 2322 2376 2838 2874 3096 3784 3832 4257 4311 4644 5269 5676 5748 8514 8622 9288 10538 11352 11496 12771 12933 15807 17028 17244 20597 21076 25542 25866 31614 34056 34488 41194 42152 47421 51084 51732 61791 63228 82388 94842 102168 103464 123582 126456 142263 164776 185373 189684 226567 247164 284526 370746 379368 453134 494328 556119 569052 679701 741492 906268 1112238 1138104 1359402 1482984 1812536 2039103 2224476 2718804 4078206 4448952 5437608 6117309 8156412 12234618 16312824 24469236 48938472