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4001669920 = 255173144569
BaseRepresentation
bin1110111010000100…
…1010001100100000
3101022212211220011001
43232201022030200
531143411414140
61501025401344
7201110430103
oct35641121440
911285756131
104001669920
111773924926
12938199254
134ba087831
1429d66a73a
151864a4e9a
hexee84a320

4001669920 has 48 divisors (see below), whose sum is σ = 9508658040. Its totient is φ = 1591404544.

The previous prime is 4001669891. The next prime is 4001669921. The reversal of 4001669920 is 299661004.

It can be written as a sum of positive squares in 4 ways, for example, as 3929283856 + 72386064 = 62684^2 + 8508^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4001669920.

It is not an unprimeable number, because it can be changed into a prime (4001669921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44605 + ... + 99964.

Almost surely, 24001669920 is an apocalyptic number.

4001669920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4001669920 is an abundant number, since it is smaller than the sum of its proper divisors (5506988120).

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

4001669920 is a wasteful number, since it uses less digits than its factorization.

4001669920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144757 (or 144749 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 37.

The square root of 4001669920 is about 63258.7537025509. The cubic root of 4001669920 is about 1587.6219239649.

The spelling of 4001669920 in words is "four billion, one million, six hundred sixty-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 173 346 692 865 1384 1730 2768 3460 5536 6920 13840 27680 144569 289138 578276 722845 1156552 1445690 2313104 2891380 4626208 5782760 11565520 23131040 25010437 50020874 100041748 125052185 200083496 250104370 400166992 500208740 800333984 1000417480 2000834960 4001669920