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392255028 = 2233113110651
BaseRepresentation
bin10111011000010…
…101011000110100
31000100002121202000
4113120111120310
51300404130103
6102531215300
712502053444
oct2730253064
91010077660
10392255028
11191466010
12ab447530
136335c289
143a14a124
1524683aa3
hex17615634

392255028 has 96 divisors (see below), whose sum is σ = 1145303040. Its totient is φ = 115020000.

The previous prime is 392255027. The next prime is 392255029. The reversal of 392255028 is 820552293.

It is an interprime number because it is at equal distance from previous prime (392255027) and next prime (392255029).

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 = 392254983 and 392255001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (392255021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31503 + ... + 42153.

It is an arithmetic number, because the mean of its divisors is an integer number (11930240).

Almost surely, 2392255028 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 392255028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572651520).

392255028 is an abundant number, since it is smaller than the sum of its proper divisors (753048012).

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

392255028 is a wasteful number, since it uses less digits than its factorization.

392255028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10706 (or 10698 counting only the distinct ones).

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

The square root of 392255028 is about 19805.4292556359. The cubic root of 392255028 is about 732.0198194042.

It can be divided in two parts, 39225 and 5028, that added together give a triangular number (44253 = T297).

The spelling of 392255028 in words is "three hundred ninety-two million, two hundred fifty-five thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 31 33 36 44 54 62 66 93 99 108 124 132 186 198 279 297 341 372 396 558 594 682 837 1023 1116 1188 1364 1674 2046 3069 3348 4092 6138 9207 10651 12276 18414 21302 31953 36828 42604 63906 95859 117161 127812 191718 234322 287577 330181 351483 383436 468644 575154 660362 702966 990543 1054449 1150308 1320724 1405932 1981086 2108898 2971629 3163347 3631991 3962172 4217796 5943258 6326694 7263982 8914887 10895973 11886516 12653388 14527964 17829774 21791946 32687919 35659548 43583892 65375838 98063757 130751676 196127514 392255028