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4089953088 = 26341360689
BaseRepresentation
bin1111001111000111…
…1011101101000000
3101120000222010220000
43303301323231000
531334011444323
61513501520000
7203232012324
oct36361735500
911500863800
104089953088
111809743321
12961873000
135024581b0
142ab28b984
1518e0e2e43
hexf3c7bb40

4089953088 has 140 divisors (see below), whose sum is σ = 13056725220. Its totient is φ = 1258426368.

The previous prime is 4089953059. The next prime is 4089953099. The reversal of 4089953088 is 8803599804.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1506060864 + 2583892224 = 38808^2 + 50832^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 37048 + ... + 97736.

It is an arithmetic number, because the mean of its divisors is an integer number (93262323).

Almost surely, 24089953088 is an apocalyptic number.

4089953088 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4089953088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6528362610).

4089953088 is an abundant number, since it is smaller than the sum of its proper divisors (8966772132).

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

4089953088 is a wasteful number, since it uses less digits than its factorization.

4089953088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60726 (or 60707 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The square root of 4089953088 is about 63952.7410514983. The cubic root of 4089953088 is about 1599.2122538904.

The spelling of 4089953088 in words is "four billion, eighty-nine million, nine hundred fifty-three thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 81 96 104 108 117 144 156 162 192 208 216 234 288 312 324 351 416 432 468 576 624 648 702 832 864 936 1053 1248 1296 1404 1728 1872 2106 2496 2592 2808 3744 4212 5184 5616 7488 8424 11232 16848 22464 33696 60689 67392 121378 182067 242756 364134 485512 546201 728268 788957 971024 1092402 1456536 1577914 1638603 1942048 2184804 2366871 2913072 3155828 3277206 3884096 4369608 4733742 4915809 5826144 6311656 6554412 7100613 8739216 9467484 9831618 11652288 12623312 13108824 14201226 17478432 18934968 19663236 21301839 25246624 26217648 28402452 34956864 37869936 39326472 42603678 50493248 52435296 56804904 63905517 75739872 78652944 85207356 104870592 113609808 127811034 151479744 157305888 170414712 227219616 255622068 314611776 340829424 454439232 511244136 681658848 1022488272 1363317696 2044976544 4089953088