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48051432 = 233211132359
BaseRepresentation
bin1011011101001…
…1010011101000
310100102021011200
42313103103220
544300121212
64433524200
71122300432
oct267232350
9110367150
1048051432
112513a830
1214113660
139c55500
14654b652
1543426dc
hex2dd34e8

48051432 has 144 divisors (see below), whose sum is σ = 154159200. Its totient is φ = 13403520.

The previous prime is 48051431. The next prime is 48051433. The reversal of 48051432 is 23415084.

It is an interprime number because it is at equal distance from previous prime (48051431) and next prime (48051433).

It is a junction number, because it is equal to n+sod(n) for n = 48051396 and 48051405.

It is not an unprimeable number, because it can be changed into a prime (48051431) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 133669 + ... + 134027.

It is an arithmetic number, because the mean of its divisors is an integer number (1070550).

Almost surely, 248051432 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 48051432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77079600).

48051432 is an abundant number, since it is smaller than the sum of its proper divisors (106107768).

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

48051432 is a wasteful number, since it uses less digits than its factorization.

48051432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 388 counting only the distinct ones).

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

The square root of 48051432 is about 6931.9140213941. The cubic root of 48051432 is about 363.5538752137.

The spelling of 48051432 in words is "forty-eight million, fifty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 13 18 22 24 26 33 36 39 44 52 66 72 78 88 99 104 117 132 143 156 169 198 234 264 286 312 338 359 396 429 468 507 572 676 718 792 858 936 1014 1077 1144 1287 1352 1436 1521 1716 1859 2028 2154 2574 2872 3042 3231 3432 3718 3949 4056 4308 4667 5148 5577 6084 6462 7436 7898 8616 9334 10296 11154 11847 12168 12924 14001 14872 15796 16731 18668 22308 23694 25848 28002 31592 33462 35541 37336 42003 44616 47388 51337 56004 60671 66924 71082 84006 94776 102674 112008 121342 133848 142164 154011 168012 182013 205348 242684 284328 308022 336024 364026 410696 462033 485368 546039 616044 667381 728052 924066 1092078 1232088 1334762 1456104 1848132 2002143 2184156 2669524 3696264 4004286 4368312 5339048 6006429 8008572 12012858 16017144 24025716 48051432