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4257902920 = 235383449619
BaseRepresentation
bin1111110111001010…
…0111000101001000
3101222201222212202011
43331302213011020
532210010343140
61542301345304
7210341402065
oct37562470510
911881885664
104257902920
111895525537
129a9b68234
1352b1a02ab
142c56c9c6c
1519dc1acea
hexfdca7148

4257902920 has 64 divisors (see below), whose sum is σ = 9642240000. Its totient is φ = 1692192768.

The previous prime is 4257902881. The next prime is 4257902921. The reversal of 4257902920 is 292097524.

It is a super-2 number, since 2×42579029202 = 36259474552289052800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (4257902921) 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, 6878371 + ... + 6878989.

It is an arithmetic number, because the mean of its divisors is an integer number (150660000).

Almost surely, 24257902920 is an apocalyptic number.

4257902920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4257902920 is an abundant number, since it is smaller than the sum of its proper divisors (5384337080).

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

4257902920 is a wasteful number, since it uses less digits than its factorization.

4257902920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1462 (or 1458 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The square root of 4257902920 is about 65252.6085302343. The cubic root of 4257902920 is about 1620.8092943628.

The spelling of 4257902920 in words is "four billion, two hundred fifty-seven million, nine hundred two thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 383 449 619 766 898 1238 1532 1796 1915 2245 2476 3064 3095 3592 3830 4490 4952 6190 7660 8980 12380 15320 17960 24760 171967 237077 277931 343934 474154 555862 687868 859835 948308 1111724 1185385 1375736 1389655 1719670 1896616 2223448 2370770 2779310 3439340 4741540 5558620 6878680 9483080 11117240 106447573 212895146 425790292 532237865 851580584 1064475730 2128951460 4257902920