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48675312 = 24327431123
BaseRepresentation
bin1011100110101…
…1100111110000
310101120221222100
42321223213300
544430102222
64455140400
71130506350
oct271534760
9111527870
1048675312
1125526534
1214374700
13a11347a
146670b60
1544174ac
hex2e6b9f0

48675312 has 120 divisors (see below), whose sum is σ = 159446144. Its totient is φ = 13571712.

The previous prime is 48675307. The next prime is 48675317. The reversal of 48675312 is 21357684.

It is an interprime number because it is at equal distance from previous prime (48675307) and next prime (48675317).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48675317) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42783 + ... + 43905.

Almost surely, 248675312 is an apocalyptic number.

48675312 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 48675312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79723072).

48675312 is an abundant number, since it is smaller than the sum of its proper divisors (110770832).

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

48675312 is a wasteful number, since it uses less digits than its factorization.

48675312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1187 (or 1178 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 48675312 is about 6976.7694529775. The cubic root of 48675312 is about 365.1205256566.

The spelling of 48675312 in words is "forty-eight million, six hundred seventy-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 43 48 56 63 72 84 86 112 126 129 144 168 172 252 258 301 336 344 387 504 516 602 688 774 903 1008 1032 1123 1204 1548 1806 2064 2246 2408 2709 3096 3369 3612 4492 4816 5418 6192 6738 7224 7861 8984 10107 10836 13476 14448 15722 17968 20214 21672 23583 26952 31444 40428 43344 47166 48289 53904 62888 70749 80856 94332 96578 125776 141498 144867 161712 188664 193156 282996 289734 338023 377328 386312 434601 565992 579468 676046 772624 869202 1014069 1131984 1158936 1352092 1738404 2028138 2317872 2704184 3042207 3476808 4056276 5408368 6084414 6953616 8112552 12168828 16225104 24337656 48675312