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4021293940 = 2253741132541
BaseRepresentation
bin1110111110110000…
…0001001101110100
3101101020202220020121
43233230001031310
531213422401230
61503010141324
7201436302016
oct35754011564
911336686217
104021293940
111783a08724
12942881844
134c1168a91
142a20d81b6
1518807e77a
hexefb01374

4021293940 has 48 divisors (see below), whose sum is σ = 8884555344. Its totient is φ = 1526860800.

The previous prime is 4021293937. The next prime is 4021294001. The reversal of 4021293940 is 493921204.

It can be written as a sum of positive squares in 8 ways, for example, as 4016016 + 4017277924 = 2004^2 + 63382^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4021293896 and 4021293905.

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, 35931 + ... + 96610.

It is an arithmetic number, because the mean of its divisors is an integer number (185094903).

Almost surely, 24021293940 is an apocalyptic number.

It is an amenable number.

4021293940 is an abundant number, since it is smaller than the sum of its proper divisors (4863261404).

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

4021293940 is a wasteful number, since it uses less digits than its factorization.

4021293940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132628 (or 132626 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 4021293940 is about 63413.6731312735. The cubic root of 4021293940 is about 1590.2129034685.

The spelling of 4021293940 in words is "four billion, twenty-one million, two hundred ninety-three thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 37 41 74 82 148 164 185 205 370 410 740 820 1517 3034 6068 7585 15170 30340 132541 265082 530164 662705 1325410 2650820 4904017 5434181 9808034 10868362 19616068 21736724 24520085 27170905 49040170 54341810 98080340 108683620 201064697 402129394 804258788 1005323485 2010646970 4021293940