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48514032 = 2433761263
BaseRepresentation
bin1011100100010…
…0001111110000
310101021202202000
42321010033300
544404422112
64451454000
71126235220
oct271041760
9111252660
1048514032
1125426346
12142b7300
13a087c38
14662c080
1543d47dc
hex2e443f0

48514032 has 160 divisors (see below), whose sum is σ = 162370560. Its totient is φ = 13582080.

The previous prime is 48514031. The next prime is 48514043. The reversal of 48514032 is 23041584.

It is a super-2 number, since 2×485140322 = 4707222601794048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 48513987 and 48514005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48514031) 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, 184333 + ... + 184595.

It is an arithmetic number, because the mean of its divisors is an integer number (1014816).

Almost surely, 248514032 is an apocalyptic number.

48514032 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 48514032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81185280).

48514032 is an abundant number, since it is smaller than the sum of its proper divisors (113856528).

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

48514032 is a wasteful number, since it uses less digits than its factorization.

48514032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 48514032 is about 6965.2015046228. The cubic root of 48514032 is about 364.7168179455.

The spelling of 48514032 in words is "forty-eight million, five hundred fourteen thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 61 63 72 84 108 112 122 126 144 168 183 189 216 244 252 263 336 366 378 427 432 488 504 526 549 732 756 789 854 976 1008 1052 1098 1281 1464 1512 1578 1647 1708 1841 2104 2196 2367 2562 2928 3024 3156 3294 3416 3682 3843 4208 4392 4734 5124 5523 6312 6588 6832 7101 7364 7686 8784 9468 10248 11046 11529 12624 13176 14202 14728 15372 16043 16569 18936 20496 22092 23058 26352 28404 29456 30744 32086 33138 37872 44184 46116 48129 49707 56808 61488 64172 66276 88368 92232 96258 99414 112301 113616 128344 132552 144387 184464 192516 198828 224602 256688 265104 288774 336903 385032 397656 433161 449204 577548 673806 770064 795312 866322 898408 1010709 1155096 1347612 1732644 1796816 2021418 2310192 2695224 3032127 3465288 4042836 5390448 6064254 6930576 8085672 12128508 16171344 24257016 48514032