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40882299552 = 253261238149
BaseRepresentation
bin100110000100110001…
…100110001010100000
310220112011020222221200
4212010301212022200
51132211332041202
630440413321200
72645046545463
oct460461461240
9126464228850
1040882299552
1116379aa0826
127b0b496200
133b16abc3c3
141d9b83b2da
1510e41b8e1c
hex984c662a0

40882299552 has 108 divisors (see below), whose sum is σ = 118199267550. Its totient is φ = 13403681280.

The previous prime is 40882299541. The next prime is 40882299553. The reversal of 40882299552 is 25599228804.

It is a happy number.

40882299552 is a `hidden beast` number, since 4 + 0 + 8 + 82 + 2 + 9 + 9 + 552 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 21549065616 + 19333233936 = 146796^2 + 139044^2 .

It is not an unprimeable number, because it can be changed into a prime (40882299553) 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 17 ways as a sum of consecutive naturals, for example, 1052574 + ... + 1090722.

Almost surely, 240882299552 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 40882299552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59099633775).

40882299552 is an abundant number, since it is smaller than the sum of its proper divisors (77316967998).

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

40882299552 is a wasteful number, since it uses less digits than its factorization.

40882299552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38287 (or 38215 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 40882299552 in words is "forty billion, eight hundred eighty-two million, two hundred ninety-nine thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 72 96 122 144 183 244 288 366 488 549 732 976 1098 1464 1952 2196 2928 3721 4392 5856 7442 8784 11163 14884 17568 22326 29768 33489 38149 44652 59536 66978 76298 89304 114447 119072 133956 152596 178608 228894 267912 305192 343341 357216 457788 535824 610384 686682 915576 1071648 1220768 1373364 1831152 2327089 2746728 3662304 4654178 5493456 6981267 9308356 10986912 13962534 18616712 20943801 27925068 37233424 41887602 55850136 74466848 83775204 111700272 141952429 167550408 223400544 283904858 335100816 425857287 567809716 670201632 851714574 1135619432 1277571861 1703429148 2271238864 2555143722 3406858296 4542477728 5110287444 6813716592 10220574888 13627433184 20441149776 40882299552