Search a number
-
+
98269440 = 2835157163
BaseRepresentation
bin1011101101101…
…11100100000000
320211220121022220
411312313210000
5200124110230
613430131040
72302163553
oct566674400
9224817286
1098269440
115051a315
1228ab0a80
1317488bc9
14d0a069a
158961d10
hex5db7900

98269440 has 144 divisors (see below), whose sum is σ = 317784768. Its totient is φ = 25878528.

The previous prime is 98269403. The next prime is 98269459. The reversal of 98269440 is 4496289.

It is a junction number, because it is equal to n+sod(n) for n = 98269392 and 98269401.

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, 602799 + ... + 602961.

Almost surely, 298269440 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 98269440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158892384).

98269440 is an abundant number, since it is smaller than the sum of its proper divisors (219515328).

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

98269440 is a wasteful number, since it uses less digits than its factorization.

98269440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 98269440 is about 9913.0943705787. The cubic root of 98269440 is about 461.4657718002.

The spelling of 98269440 in words is "ninety-eight million, two hundred sixty-nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 157 160 163 192 240 256 314 320 326 384 471 480 489 628 640 652 768 785 815 942 960 978 1256 1280 1304 1570 1630 1884 1920 1956 2355 2445 2512 2608 3140 3260 3768 3840 3912 4710 4890 5024 5216 6280 6520 7536 7824 9420 9780 10048 10432 12560 13040 15072 15648 18840 19560 20096 20864 25120 25591 26080 30144 31296 37680 39120 40192 41728 50240 51182 52160 60288 62592 75360 76773 78240 100480 102364 104320 120576 125184 127955 150720 153546 156480 200960 204728 208640 255910 301440 307092 312960 383865 409456 511820 602880 614184 625920 767730 818912 1023640 1228368 1535460 1637824 2047280 2456736 3070920 3275648 4094560 4913472 6141840 6551296 8189120 9826944 12283680 16378240 19653888 24567360 32756480 49134720 98269440