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428366092 = 227113374127
BaseRepresentation
bin11001100010000…
…101100100001100
31002212001020210211
4121202011210030
51334130203332
6110301212204
713421023510
oct3142054414
91085036724
10428366092
111aa88a870
12bb561064
136a99397b
1440c6a140
1527918447
hex1988590c

428366092 has 48 divisors (see below), whose sum is σ = 937617408. Its totient is φ = 166360320.

The previous prime is 428366083. The next prime is 428366101. The reversal of 428366092 is 290663824.

It is an interprime number because it is at equal distance from previous prime (428366083) and next prime (428366101).

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101733 + ... + 105859.

It is an arithmetic number, because the mean of its divisors is an integer number (19533696).

Almost surely, 2428366092 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 428366092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468808704).

428366092 is an abundant number, since it is smaller than the sum of its proper divisors (509251316).

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

428366092 is a wasteful number, since it uses less digits than its factorization.

428366092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4486 (or 4484 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 40.

The square root of 428366092 is about 20697.0068367385. The cubic root of 428366092 is about 753.8270117962.

The spelling of 428366092 in words is "four hundred twenty-eight million, three hundred sixty-six thousand, ninety-two".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 308 337 674 1348 2359 3707 4127 4718 7414 8254 9436 14828 16508 25949 28889 45397 51898 57778 90794 103796 115556 181588 317779 635558 1271116 1390799 2781598 5563196 9735593 15298789 19471186 30597578 38942372 61195156 107091523 214183046 428366092