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4055098880 = 2957232327
BaseRepresentation
bin1111000110110011…
…1110011000000000
3101110121101100220102
43301230332120000
531301101131010
61510214501532
7202326525500
oct36154763000
911417340812
104055098880
1117a0aa7898
129520648a8
134c81738c1
142a67b7a00
1518b00aba5
hexf1b3e600

4055098880 has 120 divisors (see below), whose sum is σ = 11310468048. Its totient is φ = 1390276608.

The previous prime is 4055098829. The next prime is 4055098889. The reversal of 4055098880 is 888905504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4055098889) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 109277 + ... + 141603.

Almost surely, 24055098880 is an apocalyptic number.

4055098880 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 4055098880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5655234024).

4055098880 is an abundant number, since it is smaller than the sum of its proper divisors (7255369168).

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

4055098880 is an equidigital number, since it uses as much as digits as its factorization.

4055098880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32364 (or 32341 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 47.

The square root of 4055098880 is about 63679.6582905405. The cubic root of 4055098880 is about 1594.6565076303.

The spelling of 4055098880 in words is "four billion, fifty-five million, ninety-eight thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 128 140 160 196 224 245 256 280 320 392 448 490 512 560 640 784 896 980 1120 1280 1568 1792 1960 2240 2560 3136 3584 3920 4480 6272 7840 8960 12544 15680 17920 25088 31360 32327 62720 64654 125440 129308 161635 226289 258616 323270 452578 517232 646540 905156 1034464 1131445 1293080 1584023 1810312 2068928 2262890 2586160 3168046 3620624 4137856 4525780 5172320 6336092 7241248 7920115 8275712 9051560 10344640 12672184 14482496 15840230 16551424 18103120 20689280 25344368 28964992 31680460 36206240 41378560 50688736 57929984 63360920 72412480 82757120 101377472 115859968 126721840 144824960 202754944 253443680 289649920 405509888 506887360 579299840 811019776 1013774720 2027549440 4055098880