Search a number
-
+
92716428 = 223721943193
BaseRepresentation
bin1011000011010…
…11110110001100
320110110111000210
411201223312030
5142213411203
613111122420
72204035200
oct541536614
9213414023
1092716428
1148377252
1227073410
13162934bc
14c456b00
158216803
hex586bd8c

92716428 has 144 divisors (see below), whose sum is σ = 272469120. Its totient is φ = 24385536.

The previous prime is 92716423. The next prime is 92716441. The reversal of 92716428 is 82461729.

It is not an unprimeable number, because it can be changed into a prime (92716423) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 480300 + ... + 480492.

Almost surely, 292716428 is an apocalyptic number.

92716428 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 92716428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136234560).

92716428 is an abundant number, since it is smaller than the sum of its proper divisors (179752692).

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

92716428 is a wasteful number, since it uses less digits than its factorization.

92716428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 267 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The square root of 92716428 is about 9628.9370129833. The cubic root of 92716428 is about 452.6045308602.

The spelling of 92716428 in words is "ninety-two million, seven hundred sixteen thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 43 49 57 76 84 86 98 114 129 133 147 172 193 196 228 258 266 294 301 386 399 516 532 579 588 602 772 798 817 903 931 1158 1204 1351 1596 1634 1806 1862 2107 2316 2451 2702 2793 3268 3612 3667 3724 4053 4214 4902 5404 5586 5719 6321 7334 8106 8299 8428 9457 9804 11001 11172 11438 12642 14668 16212 16598 17157 18914 22002 22876 24897 25284 25669 28371 33196 34314 37828 40033 44004 49794 51338 56742 58093 68628 77007 80066 99588 102676 113484 116186 120099 154014 157681 160132 174279 179683 232372 240198 308028 315362 348558 359366 406651 473043 480396 539049 630724 697116 718732 813302 946086 1078098 1103767 1219953 1626604 1892172 2156196 2207534 2439906 3311301 4415068 4879812 6622602 7726369 13245204 15452738 23179107 30905476 46358214 92716428