Search a number
-
+
39114984 = 23341127313
BaseRepresentation
bin1001010100110…
…1100011101000
32201121020200010
42111031203220
540003134414
63514211520
7653320566
oct225154350
981536603
1039114984
1120096737
1211123ba0
138146a7c
1452a2a36
153679959
hex254d8e8

39114984 has 64 divisors (see below), whose sum is σ = 101283840. Its totient is φ = 12579840.

The previous prime is 39114961. The next prime is 39114989. The reversal of 39114984 is 48941193.

Its product of digits (31104) is a multiple of the sum of its prime divisors (486).

It is not an unprimeable number, because it can be changed into a prime (39114989) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124812 + ... + 125124.

It is an arithmetic number, because the mean of its divisors is an integer number (1582560).

Almost surely, 239114984 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 39114984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50641920).

39114984 is an abundant number, since it is smaller than the sum of its proper divisors (62168856).

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

39114984 is a wasteful number, since it uses less digits than its factorization.

39114984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 486 counting only the distinct ones).

The product of its digits is 31104, while the sum is 39.

The square root of 39114984 is about 6254.1973106067. The cubic root of 39114984 is about 339.4540951278.

The spelling of 39114984 in words is "thirty-nine million, one hundred fourteen thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 127 164 246 254 313 328 381 492 508 626 762 939 984 1016 1252 1524 1878 2504 3048 3756 5207 7512 10414 12833 15621 20828 25666 31242 38499 39751 41656 51332 62484 76998 79502 102664 119253 124968 153996 159004 238506 307992 318008 477012 954024 1629791 3259582 4889373 6519164 9778746 13038328 19557492 39114984