Search a number
-
+
46449696 = 25323109193
BaseRepresentation
bin1011000100110…
…0010000100000
310020101220000010
42301030100200
543342342241
64335324520
71102546566
oct261142040
9106356003
1046449696
1124246387
1213680740
139814437
146251a36
154127d16
hex2c4c420

46449696 has 96 divisors (see below), whose sum is σ = 129064320. Its totient is φ = 14598144.

The previous prime is 46449659. The next prime is 46449701. The reversal of 46449696 is 69694464.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 240576 + ... + 240768.

It is an arithmetic number, because the mean of its divisors is an integer number (1344420).

Almost surely, 246449696 is an apocalyptic number.

46449696 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46449696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64532160).

46449696 is an abundant number, since it is smaller than the sum of its proper divisors (82614624).

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

46449696 is a wasteful number, since it uses less digits than its factorization.

46449696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 330 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 48.

The square root of 46449696 is about 6815.4013821638. The cubic root of 46449696 is about 359.4685986927.

The spelling of 46449696 in words is "forty-six million, four hundred forty-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 109 138 184 193 218 276 327 368 386 436 552 579 654 736 772 872 1104 1158 1308 1544 1744 2208 2316 2507 2616 3088 3488 4439 4632 5014 5232 6176 7521 8878 9264 10028 10464 13317 15042 17756 18528 20056 21037 26634 30084 35512 40112 42074 53268 60168 63111 71024 80224 84148 106536 120336 126222 142048 168296 213072 240672 252444 336592 426144 483851 504888 673184 967702 1009776 1451553 1935404 2019552 2903106 3870808 5806212 7741616 11612424 15483232 23224848 46449696