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4202041520 = 2451919714033
BaseRepresentation
bin1111101001110110…
…0001000010110000
3101211211212211022102
43322131201002300
532101210312040
61532544155532
7206062522625
oct37235410260
911754784272
104202041520
111866a40a96
12993308ba8
1351c742001
142bc10834c
15198d84515
hexfa7610b0

4202041520 has 80 divisors (see below), whose sum is σ = 10336883040. Its totient is φ = 1584156672.

The previous prime is 4202041517. The next prime is 4202041541. The reversal of 4202041520 is 251402024.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 4202041492 and 4202041501.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 292424 + ... + 306456.

It is an arithmetic number, because the mean of its divisors is an integer number (129211038).

Almost surely, 24202041520 is an apocalyptic number.

4202041520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4202041520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5168441520).

4202041520 is an abundant number, since it is smaller than the sum of its proper divisors (6134841520).

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

4202041520 is a wasteful number, since it uses less digits than its factorization.

4202041520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14262 (or 14256 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 4202041520 is about 64823.1557392881. The cubic root of 4202041520 is about 1613.6900200965.

Adding to 4202041520 its reverse (251402024), we get a palindrome (4453443544).

The spelling of 4202041520 in words is "four billion, two hundred two million, forty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 197 304 380 394 760 788 985 1520 1576 1970 3152 3743 3940 7486 7880 14033 14972 15760 18715 28066 29944 37430 56132 59888 70165 74860 112264 140330 149720 224528 266627 280660 299440 533254 561320 1066508 1122640 1333135 2133016 2666270 2764501 4266032 5332540 5529002 10665080 11058004 13822505 21330160 22116008 27645010 44232016 52525519 55290020 105051038 110580040 210102076 221160080 262627595 420204152 525255190 840408304 1050510380 2101020760 4202041520