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38828052 = 22332331543
BaseRepresentation
bin1001010000011…
…1100000010100
32201001200002000
42110013200110
534414444202
63504115300
7651014214
oct224074024
981050060
1038828052
111aa100aa
1211005b30
1380762a3
14522a244
15361e91c
hex2507814

38828052 has 48 divisors (see below), whose sum is σ = 101162880. Its totient is φ = 12878784.

The previous prime is 38828029. The next prime is 38828057. The reversal of 38828052 is 25082883.

It is a super-2 number, since 2×388280522 = 3015235244229408, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 38827998 and 38828016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38828057) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24393 + ... + 25935.

It is an arithmetic number, because the mean of its divisors is an integer number (2107560).

Almost surely, 238828052 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 38828052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50581440).

38828052 is an abundant number, since it is smaller than the sum of its proper divisors (62334828).

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

38828052 is a wasteful number, since it uses less digits than its factorization.

38828052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1789 (or 1781 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 38828052 is about 6231.2159327053. The cubic root of 38828052 is about 338.6220237067.

The spelling of 38828052 in words is "thirty-eight million, eight hundred twenty-eight thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 233 466 699 932 1398 1543 2097 2796 3086 4194 4629 6172 6291 8388 9258 12582 13887 18516 25164 27774 41661 55548 83322 166644 359519 719038 1078557 1438076 2157114 3235671 4314228 6471342 9707013 12942684 19414026 38828052