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690284448 = 253272911807
BaseRepresentation
bin101001001001001…
…110011110100000
31210002220002020200
4221021032132200
52403203100243
6152255105200
723051215050
oct5111163640
91702802220
10690284448
11324713a17
12173212200
13b001a149
1467969560
1540903ad3
hex2924e7a0

690284448 has 144 divisors (see below), whose sum is σ = 2320980480. Its totient is φ = 190407168.

The previous prime is 690284447. The next prime is 690284503. The reversal of 690284448 is 844482096.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×6902844483 (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (690284443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52561 + ... + 64367.

It is an arithmetic number, because the mean of its divisors is an integer number (16117920).

Almost surely, 2690284448 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 690284448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1160490240).

690284448 is an abundant number, since it is smaller than the sum of its proper divisors (1630696032).

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

690284448 is a wasteful number, since it uses less digits than its factorization.

690284448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11859 (or 11848 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 690284448 is about 26273.2648903786. The cubic root of 690284448 is about 883.7770026433. Note that the first 3 decimals are identical.

The spelling of 690284448 in words is "six hundred ninety million, two hundred eighty-four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 29 32 36 42 48 56 58 63 72 84 87 96 112 116 126 144 168 174 203 224 232 252 261 288 336 348 406 464 504 522 609 672 696 812 928 1008 1044 1218 1392 1624 1827 2016 2088 2436 2784 3248 3654 4176 4872 6496 7308 8352 9744 11807 14616 19488 23614 29232 35421 47228 58464 70842 82649 94456 106263 141684 165298 188912 212526 247947 283368 330596 342403 377824 425052 495894 566736 661192 684806 743841 850104 991788 1027209 1133472 1322384 1369612 1487682 1700208 1983576 2054418 2396821 2644768 2739224 2975364 3081627 3400416 3967152 4108836 4793642 5478448 5950728 6163254 7190463 7934304 8217672 9587284 10956896 11901456 12326508 14380926 16435344 19174568 21571389 23802912 24653016 28761852 32870688 38349136 43142778 49306032 57523704 76698272 86285556 98612064 115047408 172571112 230094816 345142224 690284448