Search a number
-
+
98992128 = 21531953
BaseRepresentation
bin1011110011010…
…00000000000000
320220021022200010
411321220000000
5200320222003
613453424520
72311263534
oct571500000
9226238603
1098992128
1150973284
122919b140
131767cb31
14d20bbc4
158a56003
hex5e68000

98992128 has 128 divisors (see below), whose sum is σ = 283111200. Its totient is φ = 30670848.

The previous prime is 98992123. The next prime is 98992129. The reversal of 98992128 is 82129989.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (98992121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1867750 + ... + 1867802.

Almost surely, 298992128 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 98992128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141555600).

98992128 is an abundant number, since it is smaller than the sum of its proper divisors (184119072).

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

98992128 is an equidigital number, since it uses as much as digits as its factorization.

98992128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 77 counting only the distinct ones).

The product of its digits is 186624, while the sum is 48.

The square root of 98992128 is about 9949.4787803181. The cubic root of 98992128 is about 462.5942391846.

The spelling of 98992128 in words is "ninety-eight million, nine hundred ninety-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 53 57 64 76 96 106 114 128 152 159 192 212 228 256 304 318 384 424 456 512 608 636 768 848 912 1007 1024 1216 1272 1536 1696 1824 2014 2048 2432 2544 3021 3072 3392 3648 4028 4096 4864 5088 6042 6144 6784 7296 8056 8192 9728 10176 12084 12288 13568 14592 16112 16384 19456 20352 24168 24576 27136 29184 32224 32768 38912 40704 48336 49152 54272 58368 64448 77824 81408 96672 98304 108544 116736 128896 155648 162816 193344 217088 233472 257792 311296 325632 386688 434176 466944 515584 622592 651264 773376 868352 933888 1031168 1302528 1546752 1736704 1867776 2062336 2605056 3093504 4124672 5210112 6187008 8249344 12374016 16498688 24748032 32997376 49496064 98992128