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2930780448 = 253327112517
BaseRepresentation
bin1010111010110000…
…0010100100100000
321120020210001222000
42232230002210200
522000234433243
61202452444000
7132425136261
oct25654024440
97506701860
102930780448
111274392802
12699619600
1337925a01b
141db348968
1512246e5d3
hexaeb02920

2930780448 has 96 divisors (see below), whose sum is σ = 8580337920. Its totient is φ = 973244160.

The previous prime is 2930780443. The next prime is 2930780449. The reversal of 2930780448 is 8440870392.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2930780443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 227886 + ... + 240402.

It is an arithmetic number, because the mean of its divisors is an integer number (89378520).

Almost surely, 22930780448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2930780448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4290168960).

2930780448 is an abundant number, since it is smaller than the sum of its proper divisors (5649557472).

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

2930780448 is a wasteful number, since it uses less digits than its factorization.

2930780448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12807 (or 12793 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 2930780448 is about 54136.6830162322. The cubic root of 2930780448 is about 1431.0707171606.

The spelling of 2930780448 in words is "two billion, nine hundred thirty million, seven hundred eighty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 271 288 432 542 813 864 1084 1626 2168 2439 3252 4336 4878 6504 7317 8672 9756 12517 13008 14634 19512 25034 26016 29268 37551 39024 50068 58536 75102 78048 100136 112653 117072 150204 200272 225306 234144 300408 337959 400544 450612 600816 675918 901224 1201632 1351836 1802448 2703672 3392107 3604896 5407344 6784214 10176321 10814688 13568428 20352642 27136856 30528963 40705284 54273712 61057926 81410568 91586889 108547424 122115852 162821136 183173778 244231704 325642272 366347556 488463408 732695112 976926816 1465390224 2930780448