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2938172880 = 243526346549
BaseRepresentation
bin1010111100100000…
…1111010111010000
321120202200122110210
42233020033113100
522004133013010
61203315124120
7132545025456
oct25710172720
97522618423
102938172880
111278581855
1269bba3640
1337a947a46
141dc3109d6
15122e2eb20
hexaf20f5d0

2938172880 has 80 divisors (see below), whose sum is σ = 9143164800. Its totient is φ = 780516864.

The previous prime is 2938172857. The next prime is 2938172999. The reversal of 2938172880 is 882718392.

2938172880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (48).

It is a congruent number.

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, 39846 + ... + 86394.

It is an arithmetic number, because the mean of its divisors is an integer number (114289560).

Almost surely, 22938172880 is an apocalyptic number.

2938172880 is a gapful number since it is divisible by the number (20) 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 2938172880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4571582400).

2938172880 is an abundant number, since it is smaller than the sum of its proper divisors (6204991920).

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

2938172880 is a wasteful number, since it uses less digits than its factorization.

2938172880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46828 (or 46822 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The square root of 2938172880 is about 54204.9156442476. The cubic root of 2938172880 is about 1432.2729237510.

The spelling of 2938172880 in words is "two billion, nine hundred thirty-eight million, one hundred seventy-two thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 263 526 789 1052 1315 1578 2104 2630 3156 3945 4208 5260 6312 7890 10520 12624 15780 21040 31560 46549 63120 93098 139647 186196 232745 279294 372392 465490 558588 698235 744784 930980 1117176 1396470 1861960 2234352 2792940 3723920 5585880 11171760 12242387 24484774 36727161 48969548 61211935 73454322 97939096 122423870 146908644 183635805 195878192 244847740 293817288 367271610 489695480 587634576 734543220 979390960 1469086440 2938172880