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4642420440 = 233575526691
BaseRepresentation
bin1000101001011010…
…11011011011011000
3102222112112101121210
410110231123123120
534001424423230
62044355103120
7223020631320
oct42455333330
912875471553
104642420440
111a72586209
12a968a1aa0
1358ca50758
143207c0280
151c2871eb0
hex114b5b6d8

4642420440 has 64 divisors (see below), whose sum is σ = 15916872960. Its totient is φ = 1061124480.

The previous prime is 4642420399. The next prime is 4642420493. The reversal of 4642420440 is 440242464.

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 = 4642420398 and 4642420407.

It is a congruent number.

It is an unprimeable number.

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, 2762506 + ... + 2764185.

It is an arithmetic number, because the mean of its divisors is an integer number (248701140).

Almost surely, 24642420440 is an apocalyptic number.

4642420440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4642420440 is an abundant number, since it is smaller than the sum of its proper divisors (11274452520).

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

4642420440 is a wasteful number, since it uses less digits than its factorization.

4642420440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5526712 (or 5526708 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

The square root of 4642420440 is about 68135.3097886845. The cubic root of 4642420440 is about 1668.2001525310.

The spelling of 4642420440 in words is "four billion, six hundred forty-two million, four hundred twenty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 5526691 11053382 16580073 22106764 27633455 33160146 38686837 44213528 55266910 66320292 77373674 82900365 110533820 116060511 132640584 154747348 165800730 193434185 221067640 232121022 309494696 331601460 386868370 464242044 580302555 663202920 773736740 928484088 1160605110 1547473480 2321210220 4642420440