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48766212 = 2235114561
BaseRepresentation
bin1011101000000…
…1110100000100
310101202120200000
42322001310010
544441004322
64501121300
71131335355
oct272016404
9111676600
1048766212
1125588860
12143b9230
13a145961
146695d2c
1544343ac
hex2e81d04

48766212 has 72 divisors (see below), whose sum is σ = 139487712. Its totient is φ = 14774400.

The previous prime is 48766189. The next prime is 48766219. The reversal of 48766212 is 21266784.

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

It is not an unprimeable number, because it can be changed into a prime (48766219) 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, 8412 + ... + 12972.

Almost surely, 248766212 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 48766212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69743856).

48766212 is an abundant number, since it is smaller than the sum of its proper divisors (90721500).

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

48766212 is a wasteful number, since it uses less digits than its factorization.

48766212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4591 (or 4577 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 48766212 is about 6983.2808908134. The cubic root of 48766212 is about 365.3476689842.

It can be divided in two parts, 48 and 766212, that multiplied together give a triangular number (36778176 = T8576).

The spelling of 48766212 in words is "forty-eight million, seven hundred sixty-six thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 243 297 324 396 486 594 891 972 1188 1782 2673 3564 4561 5346 9122 10692 13683 18244 27366 41049 50171 54732 82098 100342 123147 150513 164196 200684 246294 301026 369441 451539 492588 602052 738882 903078 1108323 1354617 1477764 1806156 2216646 2709234 4063851 4433292 5418468 8127702 12191553 16255404 24383106 48766212