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1672437042 = 2322331151863
BaseRepresentation
bin110001110101111…
…0101110100110010
311022112222121022200
41203223311310302
511411120441132
6433542044030
756305323513
oct14353656462
94275877280
101672437042
11789057781
123a8119616
13208648923
1411c18ca0a
159bc5bd7c
hex63af5d32

1672437042 has 96 divisors (see below), whose sum is σ = 3933536256. Its totient is φ = 512028000.

The previous prime is 1672437029. The next prime is 1672437077. The reversal of 1672437042 is 2407342761.

It is a junction number, because it is equal to n+sod(n) for n = 1672436988 and 1672437006.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1937503 + ... + 1938365.

It is an arithmetic number, because the mean of its divisors is an integer number (40974336).

Almost surely, 21672437042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1672437042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1966768128).

1672437042 is an abundant number, since it is smaller than the sum of its proper divisors (2261099214).

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

1672437042 is a wasteful number, since it uses less digits than its factorization.

1672437042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1076 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 1672437042 is about 40895.4403570863. The cubic root of 1672437042 is about 1186.9978326903.

The spelling of 1672437042 in words is "one billion, six hundred seventy-two million, four hundred thirty-seven thousand, forty-two".

Divisors: 1 2 3 6 9 18 23 31 46 62 69 93 138 151 186 207 279 302 414 453 558 713 863 906 1359 1426 1726 2139 2589 2718 3473 4278 4681 5178 6417 6946 7767 9362 10419 12834 14043 15534 19849 20838 26753 28086 31257 39698 42129 53506 59547 62514 80259 84258 107663 119094 130313 160518 178641 215326 240777 260626 322989 357282 390939 481554 615319 645978 781878 968967 1172817 1230638 1845957 1937934 2345634 2997199 3691914 4039703 5537871 5994398 8079406 8991597 11075742 12119109 17983194 24238218 26974791 36357327 53949582 72714654 92913169 185826338 278739507 557479014 836218521 1672437042