Search a number
-
+
4081677432 = 2337191278721
BaseRepresentation
bin1111001101001001…
…0111010001111000
3101112110101200211020
43303102113101320
531324402134212
61513004302440
7203101454130
oct36322272170
911473350736
104081677432
111805000738
1295ab41a20
1350081b461
142aa135ac0
1518d50ad8c
hexf3497478

4081677432 has 64 divisors (see below), whose sum is σ = 12275731200. Its totient is φ = 1104814080.

The previous prime is 4081677427. The next prime is 4081677487. The reversal of 4081677432 is 2347761804.

It is a super-3 number, since 3×40816774323 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 636169 + ... + 642552.

It is an arithmetic number, because the mean of its divisors is an integer number (191808300).

Almost surely, 24081677432 is an apocalyptic number.

4081677432 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

4081677432 is an abundant number, since it is smaller than the sum of its proper divisors (8194053768).

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

4081677432 is a wasteful number, since it uses less digits than its factorization.

4081677432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1278756 (or 1278752 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The square root of 4081677432 is about 63888.0069496615. The cubic root of 4081677432 is about 1598.1329043603.

The spelling of 4081677432 in words is "four billion, eighty-one million, six hundred seventy-seven thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 84 114 133 152 168 228 266 399 456 532 798 1064 1596 3192 1278721 2557442 3836163 5114884 7672326 8951047 10229768 15344652 17902094 24295699 26853141 30689304 35804188 48591398 53706282 71608376 72887097 97182796 107412564 145774194 170069893 194365592 214825128 291548388 340139786 510209679 583096776 680279572 1020419358 1360559144 2040838716 4081677432