Search a number
-
+
248336592 = 24374791543
BaseRepresentation
bin11101100110101…
…01000011010000
3122022021210202120
432303111003100
51002033232332
640350414240
76103553250
oct1663250320
9568253676
10248336592
111181a7a59
126b201380
133c5ac53a
1424da5960
1516c0632c
hexecd50d0

248336592 has 80 divisors (see below), whose sum is σ = 735191040. Its totient is φ = 70759296.

The previous prime is 248336573. The next prime is 248336603. The reversal of 248336592 is 295633842.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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, 160173 + ... + 161715.

It is an arithmetic number, because the mean of its divisors is an integer number (9189888).

Almost surely, 2248336592 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 248336592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367595520).

248336592 is an abundant number, since it is smaller than the sum of its proper divisors (486854448).

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

248336592 is a wasteful number, since it uses less digits than its factorization.

248336592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2040 (or 2034 counting only the distinct ones).

The product of its digits is 311040, while the sum is 42.

The square root of 248336592 is about 15758.6989310666. The cubic root of 248336592 is about 628.5602395096.

The spelling of 248336592 in words is "two hundred forty-eight million, three hundred thirty-six thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 479 958 1437 1543 1916 2874 3086 3353 3832 4629 5748 6172 6706 7664 9258 10059 10801 11496 12344 13412 18516 20118 21602 22992 24688 26824 32403 37032 40236 43204 53648 64806 74064 80472 86408 129612 160944 172816 259224 518448 739097 1478194 2217291 2956388 4434582 5173679 5912776 8869164 10347358 11825552 15521037 17738328 20694716 31042074 35476656 41389432 62084148 82778864 124168296 248336592