Search a number
-
+
97809348 = 223713432083
BaseRepresentation
bin1011101010001…
…11001111000100
320211001020012110
411311013033010
5200014344343
613412221020
72265236310
oct565071704
9224036173
1097809348
115023567a
122890a770
1317357670
14cdc0b40
1588c0833
hex5d473c4

97809348 has 96 divisors (see below), whose sum is σ = 287558656. Its totient is φ = 25183872.

The previous prime is 97809343. The next prime is 97809353. The reversal of 97809348 is 84390879.

It is an interprime number because it is at equal distance from previous prime (97809343) and next prime (97809353).

It is a junction number, because it is equal to n+sod(n) for n = 97809297 and 97809306.

It is not an unprimeable number, because it can be changed into a prime (97809343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45915 + ... + 47997.

Almost surely, 297809348 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 97809348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143779328).

97809348 is an abundant number, since it is smaller than the sum of its proper divisors (189749308).

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

97809348 is a wasteful number, since it uses less digits than its factorization.

97809348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2153 (or 2151 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The square root of 97809348 is about 9889.8608685866. The cubic root of 97809348 is about 460.7444593010.

The spelling of 97809348 in words is "ninety-seven million, eight hundred nine thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 43 52 78 84 86 91 129 156 172 182 258 273 301 364 516 546 559 602 903 1092 1118 1204 1677 1806 2083 2236 3354 3612 3913 4166 6249 6708 7826 8332 11739 12498 14581 15652 23478 24996 27079 29162 43743 46956 54158 58324 81237 87486 89569 108316 162474 174972 179138 189553 268707 324948 358276 379106 537414 568659 626983 758212 1074828 1137318 1164397 1253966 1880949 2274636 2328794 2507932 3493191 3761898 4657588 6986382 7523796 8150779 13972764 16301558 24452337 32603116 48904674 97809348