Search a number
-
+
99992928 = 2537229733
BaseRepresentation
bin1011111010111…
…00010101100000
320222011011111210
411331130111200
5201044233203
613531110120
72322632400
oct575342540
9228134453
1099992928
1151497192
12295a2340
1317940519
14d3cc800
158ba2803
hex5f5c560

99992928 has 144 divisors (see below), whose sum is σ = 316295280. Its totient is φ = 27546624.

The previous prime is 99992917. The next prime is 99992939. The reversal of 99992928 is 82929999.

It is an interprime number because it is at equal distance from previous prime (99992917) and next prime (99992939).

It is a congruent number.

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, 136050 + ... + 136782.

It is an arithmetic number, because the mean of its divisors is an integer number (2196495).

Almost surely, 299992928 is an apocalyptic number.

99992928 is a gapful number since it is divisible by the number (98) 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 99992928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158147640).

99992928 is an abundant number, since it is smaller than the sum of its proper divisors (216302352).

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

99992928 is a wasteful number, since it uses less digits than its factorization.

99992928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789 (or 774 counting only the distinct ones).

The product of its digits is 1889568, while the sum is 57.

The square root of 99992928 is about 9999.6463937481. The cubic root of 99992928 is about 464.1479413313.

The spelling of 99992928 in words is "ninety-nine million, nine hundred ninety-two thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 49 56 58 84 87 96 98 112 116 147 168 174 196 203 224 232 294 336 348 392 406 464 588 609 672 696 733 784 812 928 1176 1218 1392 1421 1466 1568 1624 2199 2352 2436 2784 2842 2932 3248 4263 4398 4704 4872 5131 5684 5864 6496 8526 8796 9744 10262 11368 11728 15393 17052 17592 19488 20524 21257 22736 23456 30786 34104 35184 35917 41048 42514 45472 61572 63771 68208 70368 71834 82096 85028 107751 123144 127542 136416 143668 148799 164192 170056 215502 246288 255084 287336 297598 340112 431004 446397 492576 510168 574672 595196 680224 862008 892794 1020336 1041593 1149344 1190392 1724016 1785588 2040672 2083186 2380784 3124779 3448032 3571176 4166372 4761568 6249558 7142352 8332744 12499116 14284704 16665488 24998232 33330976 49996464 99992928