Search a number
-
+
505678944 = 25331169919
BaseRepresentation
bin11110001001000…
…000110001100000
31022020112011002210
4132021000301200
52013423211234
6122102242120
715350125431
oct3611006140
91266464083
10505678944
1123a496091
12121426340
13809c2c14
144b233488
152e5dabe9
hex1e240c60

505678944 has 48 divisors (see below), whose sum is σ = 1370234880. Its totient is φ = 163121280.

The previous prime is 505678933. The next prime is 505678951. The reversal of 505678944 is 449876505.

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

It is a super-2 number, since 2×5056789442 = 511422388809910272, which contains 22 as substring.

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 = 505678893 and 505678902.

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, 81984 + ... + 87935.

It is an arithmetic number, because the mean of its divisors is an integer number (28546560).

Almost surely, 2505678944 is an apocalyptic number.

It is an amenable number.

505678944 is an abundant number, since it is smaller than the sum of its proper divisors (864555936).

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

505678944 is a wasteful number, since it uses less digits than its factorization.

505678944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169963 (or 169955 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The square root of 505678944 is about 22487.3062859917. The cubic root of 505678944 is about 796.6941412730.

The spelling of 505678944 in words is "five hundred five million, six hundred seventy-eight thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 169919 339838 509757 679676 1019514 1359352 2039028 2718704 4078056 5267489 5437408 8156112 10534978 15802467 16312224 21069956 31604934 42139912 63209868 84279824 126419736 168559648 252839472 505678944