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38097052 = 2271923769
BaseRepresentation
bin1001000101010…
…1000010011100
32122200112022221
42101111002130
534223101202
63440315124
7641551060
oct221250234
978615287
1038097052
111a560974
1210912aa4
137b7b646
1450b9aa0
153528037
hex245509c

38097052 has 36 divisors (see below), whose sum is σ = 80436720. Its totient is φ = 15463872.

The previous prime is 38097049. The next prime is 38097091. The reversal of 38097052 is 25079083.

It is a junction number, because it is equal to n+sod(n) for n = 38096999 and 38097017.

It is a congruent number.

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, 8224 + ... + 11992.

Almost surely, 238097052 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 38097052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40218360).

38097052 is an abundant number, since it is smaller than the sum of its proper divisors (42339668).

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

38097052 is a wasteful number, since it uses less digits than its factorization.

38097052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3818 (or 3797 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 38097052 is about 6172.2809398147. The cubic root of 38097052 is about 336.4835135326.

The spelling of 38097052 in words is "thirty-eight million, ninety-seven thousand, fifty-two".

Divisors: 1 2 4 7 14 19 28 38 76 133 266 361 532 722 1444 2527 3769 5054 7538 10108 15076 26383 52766 71611 105532 143222 286444 501277 1002554 1360609 2005108 2721218 5442436 9524263 19048526 38097052