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801146052 = 22347379547
BaseRepresentation
bin101111110000001…
…000010011000100
32001211111102210000
4233300020103010
53120043133202
6211255201300
725565425530
oct5760102304
92054442700
10801146052
11381253983
121a4376230
13c9c94725
1478586bc0
154a50191c
hex2fc084c4

801146052 has 120 divisors (see below), whose sum is σ = 2458495424. Its totient is φ = 222689088.

The previous prime is 801146033. The next prime is 801146057. The reversal of 801146052 is 250641108.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (801146057) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 79143 + ... + 88689.

Almost surely, 2801146052 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 801146052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1229247712).

801146052 is an abundant number, since it is smaller than the sum of its proper divisors (1657349372).

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

801146052 is a wasteful number, since it uses less digits than its factorization.

801146052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9607 (or 9596 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 801146052 is about 28304.5235254014. The cubic root of 801146052 is about 928.7608470566.

The spelling of 801146052 in words is "eight hundred one million, one hundred forty-six thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 37 42 54 63 74 81 84 108 111 126 148 162 189 222 252 259 324 333 378 444 518 567 666 756 777 999 1036 1134 1332 1554 1998 2268 2331 2997 3108 3996 4662 5994 6993 9324 9547 11988 13986 19094 20979 27972 28641 38188 41958 57282 66829 83916 85923 114564 133658 171846 200487 257769 267316 343692 353239 400974 515538 601461 706478 773307 801948 1031076 1059717 1202922 1412956 1546614 1804383 2119434 2405844 2472673 3093228 3179151 3608766 4238868 4945346 5413149 6358302 7217532 7418019 9537453 9890692 10826298 12716604 14836038 19074906 21652596 22254057 28612359 29672076 38149812 44508114 57224718 66762171 89016228 114449436 133524342 200286513 267048684 400573026 801146052