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1942088448 = 2838330467
BaseRepresentation
bin111001111000001…
…1110101100000000
312000100101022111210
41303300132230000
512434133312243
6520413410120
766061323306
oct16360365400
95010338453
101942088448
11907292883
12462499940
1324c47bb81
14145d02276
15b5773933
hex73c1eb00

1942088448 has 72 divisors (see below), whose sum is σ = 5231233728. Its totient is φ = 639542272.

The previous prime is 1942088437. The next prime is 1942088453. The reversal of 1942088448 is 8448802491.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 1942088397 and 1942088406.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48511 + ... + 78977.

It is an arithmetic number, because the mean of its divisors is an integer number (72656024).

Almost surely, 21942088448 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 1942088448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2615616864).

1942088448 is an abundant number, since it is smaller than the sum of its proper divisors (3289145280).

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

1942088448 is an equidigital number, since it uses as much as digits as its factorization.

1942088448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30569 (or 30555 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 48.

The square root of 1942088448 is about 44069.1325986795. The cubic root of 1942088448 is about 1247.6410867964.

The spelling of 1942088448 in words is "one billion, nine hundred forty-two million, eighty-eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 83 96 128 166 192 249 256 332 384 498 664 768 996 1328 1992 2656 3984 5312 7968 10624 15936 21248 30467 31872 60934 63744 91401 121868 182802 243736 365604 487472 731208 974944 1462416 1949888 2528761 2924832 3899776 5057522 5849664 7586283 7799552 10115044 11699328 15172566 20230088 23398656 30345132 40460176 60690264 80920352 121380528 161840704 242761056 323681408 485522112 647362816 971044224 1942088448