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5352235440 = 243538957329
BaseRepresentation
bin1001111110000010…
…01010000110110000
3111211000011201202020
410333001022012300
541430133013230
62243032551440
7246430151646
oct47701120660
914730151666
105352235440
1122a7219782
121054552580
13673b18426
1438ab91196
15214d32810
hex13f04a1b0

5352235440 has 80 divisors (see below), whose sum is σ = 16634872800. Its totient is φ = 1423568896.

The previous prime is 5352235433. The next prime is 5352235459. The reversal of 5352235440 is 445322535.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64696 + ... + 122024.

It is an arithmetic number, because the mean of its divisors is an integer number (207935910).

Almost surely, 25352235440 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 5352235440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8317436400).

5352235440 is an abundant number, since it is smaller than the sum of its proper divisors (11282637360).

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

5352235440 is a wasteful number, since it uses less digits than its factorization.

5352235440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57734 (or 57728 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 33.

The square root of 5352235440 is about 73158.9737489530. The cubic root of 5352235440 is about 1749.2225597061. Note that the first 3 decimals are identical.

Adding to 5352235440 its reverse (445322535), we get a palindrome (5797557975).

The spelling of 5352235440 in words is "five billion, three hundred fifty-two million, two hundred thirty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 389 778 1167 1556 1945 2334 3112 3890 4668 5835 6224 7780 9336 11670 15560 18672 23340 31120 46680 57329 93360 114658 171987 229316 286645 343974 458632 573290 687948 859935 917264 1146580 1375896 1719870 2293160 2751792 3439740 4586320 6879480 13758960 22300981 44601962 66902943 89203924 111504905 133805886 178407848 223009810 267611772 334514715 356815696 446019620 535223544 669029430 892039240 1070447088 1338058860 1784078480 2676117720 5352235440