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4099181088 = 253293147497
BaseRepresentation
bin1111010001010100…
…1000101000100000
3101120200022222022210
43310111020220200
531343342243323
61514431402120
7203403315162
oct36425105040
911520288283
104099181088
111813976472
12964983340
13504339552
142ac5b0932
1518ed17293
hexf4548a20

4099181088 has 96 divisors (see below), whose sum is σ = 11490716160. Its totient is φ = 1276692480.

The previous prime is 4099181081. The next prime is 4099181089. The reversal of 4099181088 is 8801819904.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (4099181081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62556 + ... + 110052.

It is an arithmetic number, because the mean of its divisors is an integer number (119694960).

Almost surely, 24099181088 is an apocalyptic number.

4099181088 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 4099181088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5745358080).

4099181088 is an abundant number, since it is smaller than the sum of its proper divisors (7391535072).

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

4099181088 is a wasteful number, since it uses less digits than its factorization.

4099181088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47570 (or 47562 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 48.

The square root of 4099181088 is about 64024.8474266046. The cubic root of 4099181088 is about 1600.4140969847.

The spelling of 4099181088 in words is "four billion, ninety-nine million, one hundred eighty-one thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 31 32 48 58 62 87 93 96 116 124 174 186 232 248 348 372 464 496 696 744 899 928 992 1392 1488 1798 2697 2784 2976 3596 5394 7192 10788 14384 21576 28768 43152 47497 86304 94994 142491 189988 284982 379976 569964 759952 1139928 1377413 1472407 1519904 2279856 2754826 2944814 4132239 4417221 4559712 5509652 5889628 8264478 8834442 11019304 11779256 16528956 17668884 22038608 23558512 33057912 35337768 42699803 44077216 47117024 66115824 70675536 85399606 128099409 132231648 141351072 170799212 256198818 341598424 512397636 683196848 1024795272 1366393696 2049590544 4099181088