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38882524428 = 223211743132151
BaseRepresentation
bin100100001101100101…
…000011110100001100
310201100210022220012100
4210031211003310030
51114112411240203
625510135235100
72544355001346
oct441545036414
9121323286170
1038882524428
1115543198110
127651818a90
1338886c3507
141c4c000296
15102884cea3
hex90d943d0c

38882524428 has 72 divisors (see below), whose sum is σ = 107366628096. Its totient is φ = 11766636000.

The previous prime is 38882524393. The next prime is 38882524441. The reversal of 38882524428 is 82442528883.

38882524428 is a `hidden beast` number, since 38 + 8 + 82 + 524 + 4 + 2 + 8 = 666.

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, 228153 + ... + 360303.

It is an arithmetic number, because the mean of its divisors is an integer number (1491203168).

Almost surely, 238882524428 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 38882524428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53683314048).

38882524428 is an abundant number, since it is smaller than the sum of its proper divisors (68484103668).

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

38882524428 is a wasteful number, since it uses less digits than its factorization.

38882524428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132915 (or 132910 counting only the distinct ones).

The product of its digits is 7864320, while the sum is 54.

The spelling of 38882524428 in words is "thirty-eight billion, eight hundred eighty-two million, five hundred twenty-four thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 743 1486 2229 2972 4458 6687 8173 8916 13374 16346 24519 26748 32692 49038 73557 98076 132151 147114 264302 294228 396453 528604 792906 1189359 1453661 1585812 2378718 2907322 4360983 4757436 5814644 8721966 13082949 17443932 26165898 52331796 98188193 196376386 294564579 392752772 589129158 883693737 1080070123 1178258316 1767387474 2160140246 3240210369 3534774948 4320280492 6480420738 9720631107 12960841476 19441262214 38882524428