Search a number
-
+
38823696 = 2432359751
BaseRepresentation
bin1001010000011…
…0011100010000
32201001110002200
42110012130100
534414324241
63504043200
7650665422
oct224063420
981043080
1038823696
111aa078aa
1211003500
138074302
145228812
15361d4b6
hex2506710

38823696 has 60 divisors (see below), whose sum is σ = 109100160. Its totient is φ = 12888000.

The previous prime is 38823689. The next prime is 38823703. The reversal of 38823696 is 69632883.

It is an interprime number because it is at equal distance from previous prime (38823689) and next prime (38823703).

It is a super-2 number, since 2×388236962 = 3014558742200832, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51321 + ... + 52071.

It is an arithmetic number, because the mean of its divisors is an integer number (1818336).

Almost surely, 238823696 is an apocalyptic number.

38823696 is a gapful number since it is divisible by the number (36) 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 38823696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54550080).

38823696 is an abundant number, since it is smaller than the sum of its proper divisors (70276464).

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

38823696 is a wasteful number, since it uses less digits than its factorization.

38823696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124 (or 1115 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 38823696 is about 6230.8663924048. The cubic root of 38823696 is about 338.6093602446.

The spelling of 38823696 in words is "thirty-eight million, eight hundred twenty-three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 359 718 751 1077 1436 1502 2154 2253 2872 3004 3231 4308 4506 5744 6008 6462 6759 8616 9012 12016 12924 13518 17232 18024 25848 27036 36048 51696 54072 108144 269609 539218 808827 1078436 1617654 2156872 2426481 3235308 4313744 4852962 6470616 9705924 12941232 19411848 38823696