Search a number
-
+
3874992 = 2431141179
BaseRepresentation
bin1110110010000010110000
321021212111020
432302002300
51442444432
6215015440
744636232
oct16620260
97255436
103874992
112207380
12136a580
13a589c4
1472c252
1551822c
hex3b20b0

3874992 has 80 divisors (see below), whose sum is σ = 11249280. Its totient is φ = 1139200.

The previous prime is 3874987. The next prime is 3875041. The reversal of 3874992 is 2994783.

It is a d-powerful number, because it can be written as 313 + 87 + 76 + 44 + 94 + 95 + 2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21559 + ... + 21737.

It is an arithmetic number, because the mean of its divisors is an integer number (140616).

Almost surely, 23874992 is an apocalyptic number.

It is a pronic number, being equal to 1968×1969.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3874992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5624640).

3874992 is an abundant number, since it is smaller than the sum of its proper divisors (7374288).

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

3874992 is a wasteful number, since it uses less digits than its factorization.

3874992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 236 counting only the distinct ones).

The product of its digits is 108864, while the sum is 42.

The square root of 3874992 is about 1968.4999364999. The cubic root of 3874992 is about 157.0689245290.

The spelling of 3874992 in words is "three million, eight hundred seventy-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 41 44 48 66 82 88 123 132 164 176 179 246 264 328 358 451 492 528 537 656 716 902 984 1074 1353 1432 1804 1968 1969 2148 2706 2864 3608 3938 4296 5412 5907 7216 7339 7876 8592 10824 11814 14678 15752 21648 22017 23628 29356 31504 44034 47256 58712 80729 88068 94512 117424 161458 176136 242187 322916 352272 484374 645832 968748 1291664 1937496 3874992