Search a number
-
+
38798640 = 2432553887
BaseRepresentation
bin1001010000000…
…0010100110000
32201000011201200
42110000110300
534413024030
63503331200
7650532366
oct224002460
981004650
1038798640
111a99aaa1
1210bb0b00
138065a9a
14521d636
153615d60
hex2500530

38798640 has 60 divisors (see below), whose sum is σ = 130301184. Its totient is φ = 10346112.

The previous prime is 38798633. The next prime is 38798647. The reversal of 38798640 is 4689783.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (38798633) and next prime (38798647).

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (38798647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26224 + ... + 27663.

Almost surely, 238798640 is an apocalyptic number.

38798640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38798640 is an abundant number, since it is smaller than the sum of its proper divisors (91502544).

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

38798640 is a wasteful number, since it uses less digits than its factorization.

38798640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53906 (or 53897 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 38798640 is about 6228.8554325815. The cubic root of 38798640 is about 338.5365007727.

The spelling of 38798640 in words is "thirty-eight million, seven hundred ninety-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 53887 107774 161661 215548 269435 323322 431096 484983 538870 646644 808305 862192 969966 1077740 1293288 1616610 1939932 2155480 2424915 2586576 3233220 3879864 4310960 4849830 6466440 7759728 9699660 12932880 19399320 38798640