Search a number
-
+
495464448 = 212361661
BaseRepresentation
bin11101100010000…
…011000000000000
31021112022012110010
4131202003000000
52003314330243
6121055304520
715164243523
oct3542030000
91245265403
10495464448
11234749856
12119b1b140
137b85783b
1449b34bba
152d76e433
hex1d883000

495464448 has 104 divisors (see below), whose sum is σ = 1344765616. Its totient is φ = 162201600.

The previous prime is 495464443. The next prime is 495464467. The reversal of 495464448 is 844464594.

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

It is a junction number, because it is equal to n+sod(n) for n = 495464397 and 495464406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (495464443) 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, 749238 + ... + 749898.

Almost surely, 2495464448 is an apocalyptic number.

495464448 is a gapful number since it is divisible by the number (48) 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 495464448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672382808).

495464448 is an abundant number, since it is smaller than the sum of its proper divisors (849301168).

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

495464448 is an equidigital number, since it uses as much as digits as its factorization.

495464448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749 (or 727 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 48.

The square root of 495464448 is about 22259.0307066593. The cubic root of 495464448 is about 791.2933192319.

The spelling of 495464448 in words is "four hundred ninety-five million, four hundred sixty-four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 96 122 128 183 192 244 256 366 384 488 512 661 732 768 976 1024 1322 1464 1536 1952 1983 2048 2644 2928 3072 3904 3966 4096 5288 5856 6144 7808 7932 10576 11712 12288 15616 15864 21152 23424 31232 31728 40321 42304 46848 62464 63456 80642 84608 93696 120963 124928 126912 161284 169216 187392 241926 249856 253824 322568 338432 374784 483852 507648 645136 676864 749568 967704 1015296 1290272 1353728 1935408 2030592 2580544 2707456 3870816 4061184 5161088 7741632 8122368 10322176 15483264 20644352 30966528 41288704 61933056 82577408 123866112 165154816 247732224 495464448