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4890740640 = 253511638761
BaseRepresentation
bin1001000111000001…
…01100011110100000
3110121211210100220020
410203200230132200
540004012200030
62125145313440
7232124416032
oct44340543640
913554710806
104890740640
11208a771915
12b45a95880
135cc325696
1434577dc52
151d9573510
hex12382c7a0

4890740640 has 96 divisors (see below), whose sum is σ = 15420839616. Its totient is φ = 1302927360.

The previous prime is 4890740597. The next prime is 4890740653. The reversal of 4890740640 is 460470984.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 4890740592 and 4890740601.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 553860 + ... + 562620.

It is an arithmetic number, because the mean of its divisors is an integer number (160633746).

Almost surely, 24890740640 is an apocalyptic number.

4890740640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4890740640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7710419808).

4890740640 is an abundant number, since it is smaller than the sum of its proper divisors (10530098976).

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

4890740640 is a wasteful number, since it uses less digits than its factorization.

4890740640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9942 (or 9934 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 4890740640 is about 69933.8304399237. The cubic root of 4890740640 is about 1697.4287126014.

The spelling of 4890740640 in words is "four billion, eight hundred ninety million, seven hundred forty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 1163 2326 3489 4652 5815 6978 8761 9304 11630 13956 17445 17522 18608 23260 26283 27912 34890 35044 37216 43805 46520 52566 55824 69780 70088 87610 93040 105132 111648 131415 139560 140176 175220 186080 210264 262830 279120 280352 350440 420528 525660 558240 700880 841056 1051320 1401760 2102640 4205280 10189043 20378086 30567129 40756172 50945215 61134258 81512344 101890430 122268516 152835645 163024688 203780860 244537032 305671290 326049376 407561720 489074064 611342580 815123440 978148128 1222685160 1630246880 2445370320 4890740640