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7984041948 = 2232229968467
BaseRepresentation
bin1110110111110001…
…01100111111011100
3202121102101100120100
413123320230333130
5112322403320243
63400125421100
7401565144141
oct73370547734
922542340510
107984041948
113427868983
121669a0a790
139a314669c
1455a5123c8
1531ade70d3
hex1dbe2cfdc

7984041948 has 36 divisors (see below), whose sum is σ = 20270035240. Its totient is φ = 2649722976.

The previous prime is 7984041853. The next prime is 7984041983. The reversal of 7984041948 is 8491404897.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 7984041894 and 7984041903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 475990 + ... + 492477.

Almost surely, 27984041948 is an apocalyptic number.

It is an amenable number.

7984041948 is an abundant number, since it is smaller than the sum of its proper divisors (12285993292).

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

7984041948 is a wasteful number, since it uses less digits than its factorization.

7984041948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968706 (or 968701 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The square root of 7984041948 is about 89353.4663457440. The cubic root of 7984041948 is about 1998.6692771180.

It can be divided in two parts, 798 and 4041948, that added together give a triangular number (4042746 = T2843).

The spelling of 7984041948 in words is "seven billion, nine hundred eighty-four million, forty-one thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 229 458 687 916 1374 2061 2748 4122 8244 968467 1936934 2905401 3873868 5810802 8716203 11621604 17432406 34864812 221778943 443557886 665336829 887115772 1330673658 1996010487 2661347316 3992020974 7984041948