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48974976 = 273337383
BaseRepresentation
bin1011101011010…
…0110010000000
310102011012001000
42322310302000
5100014144401
64505412000
71133165121
oct272646200
9112135030
1048974976
1125710696
121449a000
13a1b999b
14670c048
154476186
hex2eb4c80

48974976 has 128 divisors (see below), whose sum is σ = 148838400. Its totient is φ = 15842304.

The previous prime is 48974971. The next prime is 48974983. The reversal of 48974976 is 67947984.

It is a happy number.

48974976 is a `hidden beast` number, since 489 + 74 + 97 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (48974971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127681 + ... + 128063.

It is an arithmetic number, because the mean of its divisors is an integer number (1162800).

Almost surely, 248974976 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 48974976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74419200).

48974976 is an abundant number, since it is smaller than the sum of its proper divisors (99863424).

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

48974976 is a wasteful number, since it uses less digits than its factorization.

48974976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 425 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The square root of 48974976 is about 6998.2123431631. The cubic root of 48974976 is about 365.8682675610.

The spelling of 48974976 in words is "forty-eight million, nine hundred seventy-four thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 64 72 74 96 108 111 128 144 148 192 216 222 288 296 333 383 384 432 444 576 592 666 766 864 888 999 1149 1152 1184 1332 1532 1728 1776 1998 2298 2368 2664 3064 3447 3456 3552 3996 4596 4736 5328 6128 6894 7104 7992 9192 10341 10656 12256 13788 14171 14208 15984 18384 20682 21312 24512 27576 28342 31968 36768 41364 42513 42624 49024 55152 56684 63936 73536 82728 85026 110304 113368 127539 127872 147072 165456 170052 220608 226736 255078 330912 340104 382617 441216 453472 510156 661824 680208 765234 906944 1020312 1323648 1360416 1530468 1813888 2040624 2720832 3060936 4081248 5441664 6121872 8162496 12243744 16324992 24487488 48974976