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6442479040 = 26559341233
BaseRepresentation
bin1100000000000000…
…00110110111000000
3121121222122211210211
412000000012313000
5101143233312130
62543140403504
7315436111504
oct60000066700
917558584724
106442479040
11280667a948
1212b96a6594
137b896139a
144518b0304
1527a8dca2a
hex180006dc0

6442479040 has 56 divisors (see below), whose sum is σ = 15601218480. Its totient is φ = 2533306368.

The previous prime is 6442479031. The next prime is 6442479049. The reversal of 6442479040 is 409742446.

It is an interprime number because it is at equal distance from previous prime (6442479031) and next prime (6442479049).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 6442478984 and 6442479002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6442479049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 151737 + ... + 189496.

Almost surely, 26442479040 is an apocalyptic number.

It is an amenable number.

6442479040 is an abundant number, since it is smaller than the sum of its proper divisors (9158739440).

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

6442479040 is a wasteful number, since it uses less digits than its factorization.

6442479040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341309 (or 341299 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 40.

The square root of 6442479040 is about 80265.0549118357. The cubic root of 6442479040 is about 1860.7341919849.

The spelling of 6442479040 in words is "six billion, four hundred forty-two million, four hundred seventy-nine thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 59 64 80 118 160 236 295 320 472 590 944 1180 1888 2360 3776 4720 9440 18880 341233 682466 1364932 1706165 2729864 3412330 5459728 6824660 10919456 13649320 20132747 21838912 27298640 40265494 54597280 80530988 100663735 109194560 161061976 201327470 322123952 402654940 644247904 805309880 1288495808 1610619760 3221239520 6442479040