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248474796 = 2232331113257
BaseRepresentation
bin11101100111101…
…10110010101100
3122022112211100020
432303312302230
51002102143141
640353402140
76105000213
oct1663666254
9568484306
10248474796
11118291879
126b269350
133c62a40b
142500007a
1516c32266
hexecf6cac

248474796 has 96 divisors (see below), whose sum is σ = 632475648. Its totient is φ = 75694080.

The previous prime is 248474789. The next prime is 248474797. The reversal of 248474796 is 697474842.

It is a happy number.

248474796 is a modest number, since divided by 74796 gives 2484 as remainder.

It is not an unprimeable number, because it can be changed into a prime (248474797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 966700 + ... + 966956.

It is an arithmetic number, because the mean of its divisors is an integer number (6588288).

Almost surely, 2248474796 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 248474796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316237824).

248474796 is an abundant number, since it is smaller than the sum of its proper divisors (384000852).

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

248474796 is a wasteful number, since it uses less digits than its factorization.

248474796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 429 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 51.

The square root of 248474796 is about 15763.0833278264. The cubic root of 248474796 is about 628.6768197644.

The spelling of 248474796 in words is "two hundred forty-eight million, four hundred seventy-four thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 12 23 31 46 62 69 92 93 113 124 138 186 226 257 276 339 372 452 514 678 713 771 1028 1356 1426 1542 2139 2599 2852 3084 3503 4278 5198 5911 7006 7797 7967 8556 10396 10509 11822 14012 15594 15934 17733 21018 23644 23901 29041 31188 31868 35466 42036 47802 58082 70932 80569 87123 95604 116164 161138 174246 183241 241707 322276 348492 366482 483414 549723 667943 732964 900271 966828 1099446 1335886 1800542 2003829 2198892 2671772 2700813 3601084 4007658 5401626 8015316 10803252 20706233 41412466 62118699 82824932 124237398 248474796