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249274116 = 223271376091
BaseRepresentation
bin11101101101110…
…01111100000100
3122101001102210200
432312321330010
51002303232431
640422450500
76114536460
oct1666717404
9571042720
10249274116
11118788373
126b593a30
133c84a1a0
142516b4a0
1516d3dee6
hexedb9f04

249274116 has 72 divisors (see below), whose sum is σ = 775529664. Its totient is φ = 65741760.

The previous prime is 249274093. The next prime is 249274117. The reversal of 249274116 is 611472942.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (249274117) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34770 + ... + 41321.

Almost surely, 2249274116 is an apocalyptic number.

249274116 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

249274116 is an abundant number, since it is smaller than the sum of its proper divisors (526255548).

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

249274116 is a wasteful number, since it uses less digits than its factorization.

249274116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76121 (or 76116 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 249274116 is about 15788.4171467567. The cubic root of 249274116 is about 629.3502295399.

The spelling of 249274116 in words is "two hundred forty-nine million, two hundred seventy-four thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 273 364 468 546 819 1092 1638 3276 76091 152182 228273 304364 456546 532637 684819 913092 989183 1065274 1369638 1597911 1978366 2130548 2739276 2967549 3195822 3956732 4793733 5935098 6391644 6924281 8902647 9587466 11870196 13848562 17805294 19174932 20772843 27697124 35610588 41545686 62318529 83091372 124637058 249274116