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1438895664 = 2434372811
BaseRepresentation
bin101010111000011…
…1100111000110000
310201021112110210000
41111300330320300
510421324130124
6354440310000
750441261043
oct12560747060
93637473700
101438895664
11679245678
12341a72300
1319c14976b
14d9158c5a
15864c96c9
hex55c3ce30

1438895664 has 150 divisors (see below), whose sum is σ = 4285457484. Its totient is φ = 466093440.

The previous prime is 1438895621. The next prime is 1438895677. The reversal of 1438895664 is 4665988341.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1438895664.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1773819 + ... + 1774629.

Almost surely, 21438895664 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 1438895664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2142728742).

1438895664 is an abundant number, since it is smaller than the sum of its proper divisors (2846561820).

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

1438895664 is an equidigital number, since it uses as much as digits as its factorization.

1438895664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905 (or 853 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The square root of 1438895664 is about 37932.7782267527. The cubic root of 1438895664 is about 1128.9544886193.

The spelling of 1438895664 in words is "one billion, four hundred thirty-eight million, eight hundred ninety-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 37 48 54 72 74 81 108 111 144 148 162 216 222 296 324 333 432 444 592 648 666 811 888 999 1296 1332 1369 1622 1776 1998 2433 2664 2738 2997 3244 3996 4107 4866 5328 5476 5994 6488 7299 7992 8214 9732 10952 11988 12321 12976 14598 15984 16428 19464 21897 21904 23976 24642 29196 30007 32856 36963 38928 43794 47952 49284 58392 60014 65691 65712 73926 87588 90021 98568 110889 116784 120028 131382 147852 175176 180042 197136 221778 240056 262764 270063 295704 350352 360084 443556 480112 525528 540126 591408 720168 810189 887112 1051056 1080252 1110259 1440336 1620378 1774224 2160504 2220518 2430567 3240756 3330777 4321008 4441036 4861134 6481512 6661554 8882072 9722268 9992331 12963024 13323108 17764144 19444536 19984662 26646216 29976993 38889072 39969324 53292432 59953986 79938648 89930979 119907972 159877296 179861958 239815944 359723916 479631888 719447832 1438895664