Search a number
-
+
39124992 = 2163199
BaseRepresentation
bin1001010101000…
…0000000000000
32201121202101210
42111100000000
540003444432
63514330120
7653362014
oct225200000
981552353
1039124992
11200a3205
1211129940
13814b4aa
1452a6544
15367c8cc
hex2550000

39124992 has 68 divisors (see below), whose sum is σ = 104856800. Its totient is φ = 12976128.

The previous prime is 39124991. The next prime is 39124999. The reversal of 39124992 is 29942193.

It is a nialpdrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 39124992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39124991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 196509 + ... + 196707.

Almost surely, 239124992 is an apocalyptic number.

39124992 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39124992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52428400).

39124992 is an abundant number, since it is smaller than the sum of its proper divisors (65731808).

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

39124992 is an frugal number, since it uses more digits than its factorization.

39124992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 204 counting only the distinct ones).

The product of its digits is 34992, while the sum is 39.

The square root of 39124992 is about 6254.9973621098. The cubic root of 39124992 is about 339.4830436835.

The spelling of 39124992 in words is "thirty-nine million, one hundred twenty-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 199 256 384 398 512 597 768 796 1024 1194 1536 1592 2048 2388 3072 3184 4096 4776 6144 6368 8192 9552 12288 12736 16384 19104 24576 25472 32768 38208 49152 50944 65536 76416 98304 101888 152832 196608 203776 305664 407552 611328 815104 1222656 1630208 2445312 3260416 4890624 6520832 9781248 13041664 19562496 39124992