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440998452 = 223317323603
BaseRepresentation
bin11010010010010…
…001101000110100
31010201211001011000
4122102101220310
51400343422302
6111432043300
713633265526
oct3222215064
91121731130
10440998452
11206a28734
12103833530
137049773b
14427d7a16
1528ab131c
hex1a491a34

440998452 has 48 divisors (see below), whose sum is σ = 1149986880. Its totient is φ = 146143584.

The previous prime is 440998427. The next prime is 440998499. The reversal of 440998452 is 254899044.

It is a junction number, because it is equal to n+sod(n) for n = 440998398 and 440998407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6883 + ... + 30485.

It is an arithmetic number, because the mean of its divisors is an integer number (23958060).

Almost surely, 2440998452 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 440998452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574993440).

440998452 is an abundant number, since it is smaller than the sum of its proper divisors (708988428).

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

440998452 is a wasteful number, since it uses less digits than its factorization.

440998452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23789 (or 23781 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 440998452 is about 20999.9631428248. The cubic root of 440998452 is about 761.1653704847.

The spelling of 440998452 in words is "four hundred forty million, nine hundred ninety-eight thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 173 346 519 692 1038 1557 2076 3114 4671 6228 9342 18684 23603 47206 70809 94412 141618 212427 283236 424854 637281 849708 1274562 2549124 4083319 8166638 12249957 16333276 24499914 36749871 48999828 73499742 110249613 146999484 220499226 440998452