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48412672 = 211711307
BaseRepresentation
bin1011100010101…
…1100000000000
310101002121200221
42320223200000
544343201142
64445352424
71125333550
oct270534000
9111077627
1048412672
1125367180
1214268714
13a050a69
146603160
1543b4767
hex2e2b800

48412672 has 96 divisors (see below), whose sum is σ = 121080960. Its totient is φ = 18800640.

The previous prime is 48412657. The next prime is 48412673. The reversal of 48412672 is 27621484.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48412673) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 157543 + ... + 157849.

It is an arithmetic number, because the mean of its divisors is an integer number (1261260).

Almost surely, 248412672 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 48412672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60540480).

48412672 is an abundant number, since it is smaller than the sum of its proper divisors (72668288).

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

48412672 is a wasteful number, since it uses less digits than its factorization.

48412672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 327 counting only the distinct ones).

The product of its digits is 21504, while the sum is 34.

The square root of 48412672 is about 6957.9215287326. The cubic root of 48412672 is about 364.4626408171.

The spelling of 48412672 in words is "forty-eight million, four hundred twelve thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 256 307 308 352 448 512 614 616 704 896 1024 1228 1232 1408 1792 2048 2149 2456 2464 2816 3377 3584 4298 4912 4928 5632 6754 7168 8596 9824 9856 11264 13508 14336 17192 19648 19712 22528 23639 27016 34384 39296 39424 47278 54032 68768 78592 78848 94556 108064 137536 157184 157696 189112 216128 275072 314368 378224 432256 550144 628736 756448 864512 1100288 1512896 1729024 2200576 3025792 3458048 4401152 6051584 6916096 12103168 24206336 48412672