Search a number
-
+
998427264 = 27359127347
BaseRepresentation
bin111011100000101…
…100101010000000
32120120201100201120
4323200230222000
54021044133024
6243023432240
733512330442
oct7340545200
92516640646
10998427264
1147264a1aa
1223a455680
1312bb09383
149685c492
155c9c0479
hex3b82ca80

998427264 has 128 divisors (see below), whose sum is σ = 2726092800. Its totient is φ = 323656704.

The previous prime is 998427253. The next prime is 998427281. The reversal of 998427264 is 462724899.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2877139 + ... + 2877485.

It is an arithmetic number, because the mean of its divisors is an integer number (21297600).

Almost surely, 2998427264 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 998427264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1363046400).

998427264 is an abundant number, since it is smaller than the sum of its proper divisors (1727665536).

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

998427264 is a wasteful number, since it uses less digits than its factorization.

998427264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 538 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 51.

The square root of 998427264 is about 31597.8996770355. The cubic root of 998427264 is about 999.4754795931.

The spelling of 998427264 in words is "nine hundred ninety-eight million, four hundred twenty-seven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 96 118 127 128 177 192 236 254 347 354 381 384 472 508 694 708 762 944 1016 1041 1388 1416 1524 1888 2032 2082 2776 2832 3048 3776 4064 4164 5552 5664 6096 7493 7552 8128 8328 11104 11328 12192 14986 16256 16656 20473 22208 22479 22656 24384 29972 33312 40946 44069 44416 44958 48768 59944 61419 66624 81892 88138 89916 119888 122838 132207 133248 163784 176276 179832 239776 245676 264414 327568 352552 359664 479552 491352 528828 655136 705104 719328 959104 982704 1057656 1310272 1410208 1438656 1965408 2115312 2600071 2620544 2820416 2877312 3930816 4230624 5200142 5640832 7800213 7861632 8461248 10400284 15600426 16922496 20800568 31200852 41601136 62401704 83202272 124803408 166404544 249606816 332809088 499213632 998427264