Search a number
-
+
2957416380 = 223355476697
BaseRepresentation
bin1011000001000110…
…1001011110111100
321122002220022121000
42300101221132330
522024044311010
61205243410300
7133200424122
oct26021513674
97562808530
102957416380
111288425776
126a6523990
13381924a29
14200abd912
151249817c0
hexb04697bc

2957416380 has 48 divisors (see below), whose sum is σ = 9200852640. Its totient is φ = 788644224.

The previous prime is 2957416331. The next prime is 2957416471. The reversal of 2957416380 is 836147592.

2957416380 is a `hidden beast` number, since 2 + 9 + 5 + 7 + 4 + 1 + 638 + 0 = 666.

2957416380 is digitally balanced in base 2, base 4 and base 10, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

2957416380 is strictly pandigital in base 10.

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, 2737809 + ... + 2738888.

It is an arithmetic number, because the mean of its divisors is an integer number (191684430).

It is a 2-persistent number, because it is pandigital, and so is 2⋅2957416380 = 5914832760, but 3⋅2957416380 = 8872249140 is not.

Almost surely, 22957416380 is an apocalyptic number.

2957416380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2957416380 is an abundant number, since it is smaller than the sum of its proper divisors (6243436260).

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

2957416380 is a wasteful number, since it uses less digits than its factorization.

2957416380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5476715 (or 5476707 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 2957416380 is about 54382.1329114628. The cubic root of 2957416380 is about 1435.3930022264.

It can be divided in two parts, 29574 and 16380, that added together give a palindrome (45954).

The spelling of 2957416380 in words is "two billion, nine hundred fifty-seven million, four hundred sixteen thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 5476697 10953394 16430091 21906788 27383485 32860182 49290273 54766970 65720364 82150455 98580546 109533940 147870819 164300910 197161092 246451365 295741638 328601820 492902730 591483276 739354095 985805460 1478708190 2957416380