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1138365252 = 22348342331
BaseRepresentation
bin100001111011010…
…0001001101000100
32221100000221120000
41003312201031010
54312410142002
6304543041300
740131642063
oct10366411504
92840027500
101138365252
11534639732
122792a0230
13151ac440b
14ab2881da
1569e1361c
hex43da1344

1138365252 has 60 divisors (see below), whose sum is σ = 3011837136. Its totient is φ = 374874480.

The previous prime is 1138365209. The next prime is 1138365253. The reversal of 1138365252 is 2525638311.

1138365252 is a `hidden beast` number, since 11 + 38 + 365 + 252 = 666.

It is a super-2 number, since 2×11383652522 = 2591750893922047008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1138365253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5727 + ... + 48057.

Almost surely, 21138365252 is an apocalyptic number.

1138365252 is a gapful number since it is divisible by the number (12) 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 1138365252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1505918568).

1138365252 is an abundant number, since it is smaller than the sum of its proper divisors (1873471884).

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

1138365252 is a wasteful number, since it uses less digits than its factorization.

1138365252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42430 (or 42419 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 1138365252 is about 33739.6688187658. The cubic root of 1138365252 is about 1044.1443518195.

The spelling of 1138365252 in words is "one billion, one hundred thirty-eight million, three hundred sixty-five thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 83 108 162 166 249 324 332 498 747 996 1494 2241 2988 4482 6723 8964 13446 26892 42331 84662 126993 169324 253986 380979 507972 761958 1142937 1523916 2285874 3428811 3513473 4571748 6857622 7026946 10540419 13715244 14053892 21080838 31621257 42161676 63242514 94863771 126485028 189727542 284591313 379455084 569182626 1138365252