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4242512640 = 28351104821
BaseRepresentation
bin1111110011011111…
…1001101100000000
3101221200000222020210
43330313321230000
532142040401030
61540551434120
7210063522342
oct37467715400
911850028223
104242512640
1118878735a3
129a4985940
13527c42112
142c3641292
1519c6cabb0
hexfcdf9b00

4242512640 has 72 divisors (see below), whose sum is σ = 13549537008. Its totient is φ = 1131335680.

The previous prime is 4242512623. The next prime is 4242512647. The reversal of 4242512640 is 462152424.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4242512598 and 4242512607.

It is not an unprimeable number, because it can be changed into a prime (4242512647) 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, 548571 + ... + 556250.

It is an arithmetic number, because the mean of its divisors is an integer number (188188014).

Almost surely, 24242512640 is an apocalyptic number.

4242512640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4242512640 is an abundant number, since it is smaller than the sum of its proper divisors (9307024368).

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

4242512640 is a wasteful number, since it uses less digits than its factorization.

4242512640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1104845 (or 1104831 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 4242512640 is about 65134.5733078831. The cubic root of 4242512640 is about 1618.8541203233.

The spelling of 4242512640 in words is "four billion, two hundred forty-two million, five hundred twelve thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3840 1104821 2209642 3314463 4419284 5524105 6628926 8838568 11048210 13257852 16572315 17677136 22096420 26515704 33144630 35354272 44192840 53031408 66289260 70708544 88385680 106062816 132578520 141417088 176771360 212125632 265157040 282834176 353542720 424251264 530314080 707085440 848502528 1060628160 1414170880 2121256320 4242512640