Search a number
-
+
47486976 = 211359131
BaseRepresentation
bin1011010100100…
…1100000000000
310022100120212220
42311021200000
544124040401
64413451040
71114426665
oct265114000
9108316786
1047486976
1124894739
1213aa0a80
139ab8604
146441a6c
154280336
hex2d49800

47486976 has 96 divisors (see below), whose sum is σ = 129729600. Its totient is φ = 15441920.

The previous prime is 47486969. The next prime is 47486981. The reversal of 47486976 is 67968474.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 362431 + ... + 362561.

It is an arithmetic number, because the mean of its divisors is an integer number (1351350).

Almost surely, 247486976 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 47486976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64864800).

47486976 is an abundant number, since it is smaller than the sum of its proper divisors (82242624).

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

47486976 is a wasteful number, since it uses less digits than its factorization.

47486976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 195 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 51.

The square root of 47486976 is about 6891.0794510004. The cubic root of 47486976 is about 362.1247191922.

The spelling of 47486976 in words is "forty-seven million, four hundred eighty-six thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 96 118 128 131 177 192 236 256 262 354 384 393 472 512 524 708 768 786 944 1024 1048 1416 1536 1572 1888 2048 2096 2832 3072 3144 3776 4192 5664 6144 6288 7552 7729 8384 11328 12576 15104 15458 16768 22656 23187 25152 30208 30916 33536 45312 46374 50304 60416 61832 67072 90624 92748 100608 120832 123664 134144 181248 185496 201216 247328 268288 362496 370992 402432 494656 741984 804864 989312 1483968 1978624 2967936 3957248 5935872 7914496 11871744 15828992 23743488 47486976