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4048265040 = 243578721433
BaseRepresentation
bin1111000101001011…
…1001111101010000
3101110010112011122020
43301102321331100
531242323440130
61505412211440
7202214453661
oct36122717520
911403464566
104048265040
11179815a496
1294b909b80
134c6920201
142a5919368
1518a60ae10
hexf14b9f50

4048265040 has 80 divisors (see below), whose sum is σ = 12566154048. Its totient is φ = 1078115328.

The previous prime is 4048265033. The next prime is 4048265047. The reversal of 4048265040 is 405628404.

It is an interprime number because it is at equal distance from previous prime (4048265033) and next prime (4048265047).

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

It is a junction number, because it is equal to n+sod(n) for n = 4048264992 and 4048265010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4048265047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 178164 + ... + 199596.

Almost surely, 24048265040 is an apocalyptic number.

4048265040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4048265040 is an abundant number, since it is smaller than the sum of its proper divisors (8517889008).

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

4048265040 is a wasteful number, since it uses less digits than its factorization.

4048265040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22236 (or 22230 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 4048265040 is about 63625.9777135094. The cubic root of 4048265040 is about 1593.7602076701.

The spelling of 4048265040 in words is "four billion, forty-eight million, two hundred sixty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 787 1574 2361 3148 3935 4722 6296 7870 9444 11805 12592 15740 18888 21433 23610 31480 37776 42866 47220 62960 64299 85732 94440 107165 128598 171464 188880 214330 257196 321495 342928 428660 514392 642990 857320 1028784 1285980 1714640 2571960 5143920 16867771 33735542 50603313 67471084 84338855 101206626 134942168 168677710 202413252 253016565 269884336 337355420 404826504 506033130 674710840 809653008 1012066260 1349421680 2024132520 4048265040