Search a number
-
+
47914464 = 2531338393
BaseRepresentation
bin1011011011000…
…1110111100000
310100011022021210
42312301313200
544231230324
64430550120
71121160213
oct266616740
9110138253
1047914464
1125056934
1214068340
139c08070
14651377a
154316d29
hex2db1de0

47914464 has 48 divisors (see below), whose sum is σ = 135454032. Its totient is φ = 14742528.

The previous prime is 47914457. The next prime is 47914487. The reversal of 47914464 is 46441974.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 17949 + ... + 20444.

It is an arithmetic number, because the mean of its divisors is an integer number (2821959).

Almost surely, 247914464 is an apocalyptic number.

It is an amenable number.

47914464 is an abundant number, since it is smaller than the sum of its proper divisors (87539568).

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

47914464 is a wasteful number, since it uses less digits than its factorization.

47914464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38419 (or 38411 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The square root of 47914464 is about 6922.0274486598. The cubic root of 47914464 is about 363.2081162838.

The spelling of 47914464 in words is "forty-seven million, nine hundred fourteen thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 38393 76786 115179 153572 230358 307144 460716 499109 614288 921432 998218 1228576 1497327 1842864 1996436 2994654 3685728 3992872 5989308 7985744 11978616 15971488 23957232 47914464