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508890048 = 26331193443
BaseRepresentation
bin11110010101010…
…000101111000000
31022110120021220120
4132111100233000
52020233440143
6122255140240
715416331312
oct3625205700
91273507816
10508890048
11241289697
12122514680
1381578694
144b82b7b2
152ea22383
hex1e550bc0

508890048 has 112 divisors (see below), whose sum is σ = 1400226816. Its totient is φ = 162938880.

The previous prime is 508890043. The next prime is 508890049. The reversal of 508890048 is 840098805.

It is a junction number, because it is equal to n+sod(n) for n = 508889991 and 508890009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (508890043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1148515 + ... + 1148957.

Almost surely, 2508890048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 508890048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700113408).

508890048 is an abundant number, since it is smaller than the sum of its proper divisors (891336768).

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

508890048 is a wasteful number, since it uses less digits than its factorization.

508890048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 42.

The square root of 508890048 is about 22558.5914453895. The cubic root of 508890048 is about 798.3769426663.

The spelling of 508890048 in words is "five hundred eight million, eight hundred ninety thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 186 192 193 248 372 386 443 496 579 744 772 886 992 1158 1329 1488 1544 1772 1984 2316 2658 2976 3088 3544 4632 5316 5952 5983 6176 7088 9264 10632 11966 12352 13733 14176 17949 18528 21264 23932 27466 28352 35898 37056 41199 42528 47864 54932 71796 82398 85056 85499 95728 109864 143592 164796 170998 191456 219728 256497 287184 329592 341996 382912 439456 512994 574368 659184 683992 878912 1025988 1148736 1318368 1367984 2051976 2636736 2650469 2735968 4103952 5300938 5471936 7951407 8207904 10601876 15902814 16415808 21203752 31805628 42407504 63611256 84815008 127222512 169630016 254445024 508890048