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8055342072 = 2332234919907
BaseRepresentation
bin1111000000010001…
…01100001111111000
3202210101112202221200
413200020230033320
5112444131421242
63411153534200
7403422164211
oct74010541770
922711482850
108055342072
1134640377a8
121689874360
139b4b4bbcb
14565b92408
153222cd04c
hex1e022c3f8

8055342072 has 96 divisors (see below), whose sum is σ = 22813764480. Its totient is φ = 2562880320.

The previous prime is 8055342059. The next prime is 8055342073. The reversal of 8055342072 is 2702435508.

8055342072 is a `hidden beast` number, since 80 + 553 + 4 + 20 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8055342073) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 808143 + ... + 818049.

It is an arithmetic number, because the mean of its divisors is an integer number (237643380).

Almost surely, 28055342072 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 8055342072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11406882240).

8055342072 is an abundant number, since it is smaller than the sum of its proper divisors (14758422408).

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

8055342072 is a wasteful number, since it uses less digits than its factorization.

8055342072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10433 (or 10426 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 8055342072 is about 89751.5574906642. The cubic root of 8055342072 is about 2004.6012454854.

The spelling of 8055342072 in words is "eight billion, fifty-five million, three hundred forty-two thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 491 552 828 982 1473 1656 1964 2946 3928 4419 5892 8838 9907 11293 11784 17676 19814 22586 29721 33879 35352 39628 45172 59442 67758 79256 89163 90344 101637 118884 135516 178326 203274 227861 237768 271032 356652 406548 455722 683583 713304 813096 911444 1367166 1822888 2050749 2734332 4101498 4864337 5468664 8202996 9728674 14593011 16405992 19457348 29186022 38914696 43779033 58372044 87558066 111879751 116744088 175116132 223759502 335639253 350232264 447519004 671278506 895038008 1006917759 1342557012 2013835518 2685114024 4027671036 8055342072