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40048808484 = 22329615473449
BaseRepresentation
bin100101010011000110…
…000101001000100100
310211101001220021011010
4211103012011020210
51124004443332414
630222000542220
72615306153406
oct452306051044
9124331807133
1040048808484
1115a91565633
127918321970
133a13211519
141d1cc74b76
151095e28959
hex953185224

40048808484 has 96 divisors (see below), whose sum is σ = 98462448000. Its totient is φ = 12651125760.

The previous prime is 40048808479. The next prime is 40048808491. The reversal of 40048808484 is 48480884004.

It is a happy number.

It is a super-2 number, since 2×400488084842 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 11609992 + ... + 11613440.

It is an arithmetic number, because the mean of its divisors is an integer number (1025650500).

Almost surely, 240048808484 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 40048808484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49231224000).

40048808484 is an abundant number, since it is smaller than the sum of its proper divisors (58413639516).

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

40048808484 is a wasteful number, since it uses less digits than its factorization.

40048808484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4093 (or 4091 counting only the distinct ones).

The product of its (nonzero) digits is 1048576, while the sum is 48.

The spelling of 40048808484 in words is "forty billion, forty-eight million, eight hundred eight thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 12 29 58 61 87 116 122 174 183 244 348 366 547 732 1094 1641 1769 2188 3282 3449 3538 5307 6564 6898 7076 10347 10614 13796 15863 20694 21228 31726 33367 41388 47589 63452 66734 95178 100021 100101 133468 190356 200042 200202 210389 300063 400084 400404 420778 600126 631167 841556 967643 1200252 1262334 1886603 1935286 2524668 2902929 3773206 3870572 5659809 5805858 6101281 7546412 11319618 11611716 12202562 18303843 22639236 24405124 36607686 54711487 73215372 109422974 115082783 164134461 218845948 230165566 328268922 345248349 460331132 656537844 690496698 1380993396 3337400707 6674801414 10012202121 13349602828 20024404242 40048808484