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38229828 = 22371322693
BaseRepresentation
bin1001000111010…
…1011101000100
32122221021110120
42101311131010
534241323303
63443221540
7642643140
oct221653504
978837416
1038229828
111a6416aa
12109778b0
137bc6c00
145112220
153552553
hex2475744

38229828 has 72 divisors (see below), whose sum is σ = 110432448. Its totient is φ = 10078848.

The previous prime is 38229799. The next prime is 38229833. The reversal of 38229828 is 82892283.

38229828 is nontrivially palindromic in base 15.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 38229828.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12850 + ... + 15542.

It is an arithmetic number, because the mean of its divisors is an integer number (1533784).

Almost surely, 238229828 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 38229828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55216224).

38229828 is an abundant number, since it is smaller than the sum of its proper divisors (72202620).

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

38229828 is a wasteful number, since it uses less digits than its factorization.

38229828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2733 (or 2718 counting only the distinct ones).

The product of its digits is 110592, while the sum is 42.

The square root of 38229828 is about 6183.0274138160. The cubic root of 38229828 is about 336.8739648508.

The spelling of 38229828 in words is "thirty-eight million, two hundred twenty-nine thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 169 182 273 338 364 507 546 676 1014 1092 1183 2028 2366 2693 3549 4732 5386 7098 8079 10772 14196 16158 18851 32316 35009 37702 56553 70018 75404 105027 113106 140036 210054 226212 245063 420108 455117 490126 735189 910234 980252 1365351 1470378 1820468 2730702 2940756 3185819 5461404 6371638 9557457 12743276 19114914 38229828