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1942378816 = 2673194657
BaseRepresentation
bin111001111000110…
…0101100101000000
312000100221001211011
41303301211211000
512434222110231
6520423530304
766063643000
oct16361454500
95010831734
101942378816
11907470a54
124625b9994
1324c5510a1
14145d7a000
15b57ce9b1
hex73c65940

1942378816 has 112 divisors (see below), whose sum is σ = 4732528000. Its totient is φ = 788465664.

The previous prime is 1942378807. The next prime is 1942378847. The reversal of 1942378816 is 6188732491.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a self number, because there is not a number n which added to its sum of digits gives 1942378816.

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, 414760 + ... + 419416.

Almost surely, 21942378816 is an apocalyptic number.

1942378816 is a gapful number since it is divisible by the number (16) 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 1942378816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2366264000).

1942378816 is an abundant number, since it is smaller than the sum of its proper divisors (2790149184).

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

1942378816 is an equidigital number, since it uses as much as digits as its factorization.

1942378816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4709 (or 4685 counting only the distinct ones).

The product of its digits is 580608, while the sum is 49.

The square root of 1942378816 is about 44072.4269356703. The cubic root of 1942378816 is about 1247.7032633318.

The spelling of 1942378816 in words is "one billion, nine hundred forty-two million, three hundred seventy-eight thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 49 56 64 76 98 112 133 152 196 224 266 304 343 392 448 532 608 686 784 931 1064 1216 1372 1568 1862 2128 2744 3136 3724 4256 4657 5488 6517 7448 8512 9314 10976 13034 14896 18628 21952 26068 29792 32599 37256 52136 59584 65198 74512 88483 104272 130396 149024 176966 208544 228193 260792 298048 353932 417088 456386 521584 619381 707864 912772 1043168 1238762 1415728 1597351 1825544 2086336 2477524 2831456 3194702 3651088 4335667 4955048 5662912 6389404 7302176 8671334 9910096 12778808 14604352 17342668 19820192 25557616 30349669 34685336 39640384 51115232 60699338 69370672 102230464 121398676 138741344 242797352 277482688 485594704 971189408 1942378816