Search a number
-
+
97784442 = 23371715217
BaseRepresentation
bin1011101010000…
…01001001111010
320210222222001000
411311001021322
5200013100232
613411505430
72265103560
oct565011172
9223888030
1097784442
1150218998
12288b8276
1317349222
14cdb5a30
1588b827c
hex5d4127a

97784442 has 64 divisors (see below), whose sum is σ = 262967040. Its totient is φ = 26293248.

The previous prime is 97784441. The next prime is 97784443. The reversal of 97784442 is 24448779.

It is an interprime number because it is at equal distance from previous prime (97784441) and next prime (97784443).

It is not an unprimeable number, because it can be changed into a prime (97784441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1183 + ... + 14034.

It is an arithmetic number, because the mean of its divisors is an integer number (4108860).

Almost surely, 297784442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97784442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131483520).

97784442 is an abundant number, since it is smaller than the sum of its proper divisors (165182598).

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

97784442 is a wasteful number, since it uses less digits than its factorization.

97784442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15252 (or 15246 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 97784442 is about 9888.6016200472. The cubic root of 97784442 is about 460.7053482621.

The spelling of 97784442 in words is "ninety-seven million, seven hundred eighty-four thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 51 54 63 102 119 126 153 189 238 306 357 378 459 714 918 1071 2142 3213 6426 15217 30434 45651 91302 106519 136953 213038 258689 273906 319557 410859 517378 639114 776067 821718 958671 1552134 1810823 1917342 2328201 2876013 3621646 4656402 5432469 5752026 6984603 10864938 13969206 16297407 32594814 48892221 97784442