Search a number
-
+
249190704 = 243272331061
BaseRepresentation
bin11101101101001…
…01100100110000
3122100220012101100
432312211210300
51002243100304
640421004400
76114041340
oct1666454460
9570805340
10249190704
11118730734
126b553700
133c81b229
1425148d20
1516d24439
hexeda5930

249190704 has 120 divisors (see below), whose sum is σ = 801189792. Its totient is φ = 70824960.

The previous prime is 249190699. The next prime is 249190723. The reversal of 249190704 is 407091942.

249190704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 234334 + ... + 235394.

Almost surely, 2249190704 is an apocalyptic number.

249190704 is a gapful number since it is divisible by the number (24) 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 249190704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400594896).

249190704 is an abundant number, since it is smaller than the sum of its proper divisors (551999088).

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

249190704 is a wasteful number, since it uses less digits than its factorization.

249190704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1315 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 249190704 is about 15785.7753689833. The cubic root of 249190704 is about 629.2800240722.

The spelling of 249190704 in words is "two hundred forty-nine million, one hundred ninety thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 233 252 336 466 504 699 932 1008 1061 1398 1631 1864 2097 2122 2796 3183 3262 3728 4194 4244 4893 5592 6366 6524 7427 8388 8488 9549 9786 11184 12732 13048 14679 14854 16776 16976 19098 19572 22281 25464 26096 29358 29708 33552 38196 39144 44562 50928 58716 59416 66843 76392 78288 89124 117432 118832 133686 152784 178248 234864 247213 267372 356496 494426 534744 741639 988852 1069488 1483278 1730491 1977704 2224917 2966556 3460982 3955408 4449834 5191473 5933112 6921964 8899668 10382946 11866224 13843928 15574419 17799336 20765892 27687856 31148838 35598672 41531784 62297676 83063568 124595352 249190704