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4028177920 = 29513121039
BaseRepresentation
bin1111000000011001…
…0001111000000000
3101101201201122021211
43300012101320000
531222203143140
61503413455504
7201551642644
oct36006217000
911351648254
104028177920
11178788a768
12945041594
134c2709240
142a2daac24
1518898e2ea
hexf0191e00

4028177920 has 80 divisors (see below), whose sum is σ = 10401209280. Its totient is φ = 1487314944.

The previous prime is 4028177917. The next prime is 4028177941. The reversal of 4028177920 is 297718204.

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 (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27240 + ... + 93799.

It is an arithmetic number, because the mean of its divisors is an integer number (130015116).

Almost surely, 24028177920 is an apocalyptic number.

4028177920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4028177920 is an abundant number, since it is smaller than the sum of its proper divisors (6373031360).

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

4028177920 is a wasteful number, since it uses less digits than its factorization.

4028177920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121075 (or 121059 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 40.

The square root of 4028177920 is about 63467.9282787771. The cubic root of 4028177920 is about 1591.1198050171.

The spelling of 4028177920 in words is "four billion, twenty-eight million, one hundred seventy-seven thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 256 260 320 416 512 520 640 832 1040 1280 1664 2080 2560 3328 4160 6656 8320 16640 33280 121039 242078 484156 605195 968312 1210390 1573507 1936624 2420780 3147014 3873248 4841560 6294028 7746496 7867535 9683120 12588056 15492992 15735070 19366240 25176112 30985984 31470140 38732480 50352224 61971968 62940280 77464960 100704448 125880560 154929920 201408896 251761120 309859840 402817792 503522240 805635584 1007044480 2014088960 4028177920