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685138398 = 237232937661
BaseRepresentation
bin101000110101100…
…110000111011110
31202202012122012020
4220311212013132
52400343412043
6151552521010
722656403020
oct5065460736
91682178166
10685138398
1132181968a
12171550166
13abc37a49
1466dca010
1540238e83
hex28d661de

685138398 has 128 divisors (see below), whose sum is σ = 1738782720. Its totient is φ = 175633920.

The previous prime is 685138379. The next prime is 685138417. The reversal of 685138398 is 893831586.

It is an interprime number because it is at equal distance from previous prime (685138379) and next prime (685138417).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 685138398.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1036188 + ... + 1036848.

It is an arithmetic number, because the mean of its divisors is an integer number (13584240).

Almost surely, 2685138398 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 685138398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869391360).

685138398 is an abundant number, since it is smaller than the sum of its proper divisors (1053644322).

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

685138398 is a wasteful number, since it uses less digits than its factorization.

685138398 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762.

The product of its digits is 1244160, while the sum is 51.

The square root of 685138398 is about 26175.1484809542. The cubic root of 685138398 is about 881.5753453719.

The spelling of 685138398 in words is "six hundred eighty-five million, one hundred thirty-eight thousand, three hundred ninety-eight".

Divisors: 1 2 3 6 7 14 21 23 29 37 42 46 58 69 74 87 111 138 161 174 203 222 259 322 406 483 518 609 661 667 777 851 966 1073 1218 1322 1334 1554 1702 1983 2001 2146 2553 3219 3966 4002 4627 4669 5106 5957 6438 7511 9254 9338 11914 13881 14007 15022 15203 17871 19169 22533 24457 24679 27762 28014 30406 35742 38338 45066 45609 48914 49358 57507 73371 74037 91218 106421 115014 134183 146742 148074 171199 172753 212842 268366 319263 342398 345506 402549 440887 513597 518259 562511 638526 709253 805098 881774 1027194 1036518 1125022 1322661 1418506 1687533 2127759 2645322 3086209 3375066 3937577 4255518 4964771 6172418 7875154 9258627 9929542 11812731 14894313 16312819 18517254 23625462 29788626 32625638 48938457 97876914 114189733 228379466 342569199 685138398