[go: up one dir, main page]

Search a number
-
+
49430976 = 263736779
BaseRepresentation
bin1011110010010…
…0000111000000
310110000100112220
42330210013000
5100123242401
64523251040
71140104430
oct274440700
9113010486
1049430976
11259a2251
1214679a80
13a3193ca
1467ca2c0
154516336
hex2f241c0

49430976 has 56 divisors (see below), whose sum is σ = 149473920. Its totient is φ = 14122752.

The previous prime is 49430939. The next prime is 49430977. The reversal of 49430976 is 67903494.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49430977) 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, 17046 + ... + 19733.

Almost surely, 249430976 is an apocalyptic number.

It is an amenable number.

49430976 is an abundant number, since it is smaller than the sum of its proper divisors (100042944).

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

49430976 is a wasteful number, since it uses less digits than its factorization.

49430976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36801 (or 36791 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The square root of 49430976 is about 7030.7166064349. The cubic root of 49430976 is about 367.0002796564. Note that the first 3 decimals are identical.

The spelling of 49430976 in words is "forty-nine million, four hundred thirty thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 36779 73558 110337 147116 220674 257453 294232 441348 514906 588464 772359 882696 1029812 1176928 1544718 1765392 2059624 2353856 3089436 3530784 4119248 6178872 7061568 8238496 12357744 16476992 24715488 49430976