Search a number
-
+
23247978 = 23132101227
BaseRepresentation
bin101100010101…
…1110001101010
31121202010020020
41120223301222
521422413403
62150141310
7401414235
oct130536152
947663206
1023247978
1112139606
127951836
134a7c900
14313241c
152093453
hex162bc6a

23247978 has 48 divisors (see below), whose sum is σ = 51070176. Its totient is φ = 7051200.

The previous prime is 23247977. The next prime is 23247979. The reversal of 23247978 is 87974232.

It is an interprime number because it is at equal distance from previous prime (23247977) and next prime (23247979).

It is not an unprimeable number, because it can be changed into a prime (23247977) 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 23 ways as a sum of consecutive naturals, for example, 102301 + ... + 102527.

It is an arithmetic number, because the mean of its divisors is an integer number (1063962).

Almost surely, 223247978 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23247978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25535088).

23247978 is an abundant number, since it is smaller than the sum of its proper divisors (27822198).

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

23247978 is a wasteful number, since it uses less digits than its factorization.

23247978 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 346 counting only the distinct ones).

The product of its digits is 169344, while the sum is 42.

The square root of 23247978 is about 4821.6157043049. The cubic root of 23247978 is about 285.4050995105.

The spelling of 23247978 in words is "twenty-three million, two hundred forty-seven thousand, nine hundred seventy-eight".

Divisors: 1 2 3 6 13 26 39 78 101 169 202 227 303 338 454 507 606 681 1014 1313 1362 2626 2951 3939 5902 7878 8853 17069 17706 22927 34138 38363 45854 51207 68781 76726 102414 115089 137562 230178 298051 596102 894153 1788306 3874663 7749326 11623989 23247978