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1053842742 = 232477011777
BaseRepresentation
bin111110110100000…
…101110100110110
32201102222202110200
4332310011310312
54124240431432
6252323301330
735054341551
oct7664056466
92642882420
101053842742
114a0959717
12254b1a846
1313a43c6b4
149dd65698
15627b9a7c
hex3ed05d36

1053842742 has 48 divisors (see below), whose sum is σ = 2336548032. Its totient is φ = 343123200.

The previous prime is 1053842729. The next prime is 1053842743. The reversal of 1053842742 is 2472483501.

It is a happy number.

1053842742 is a `hidden beast` number, since 1 + 0 + 5 + 384 + 274 + 2 = 666.

It is a super-2 number, since 2×10538427422 = 2221169049732157128, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1053842697 and 1053842706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1053842743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 592158 + ... + 593934.

It is an arithmetic number, because the mean of its divisors is an integer number (48678084).

Almost surely, 21053842742 is an apocalyptic number.

1053842742 is an abundant number, since it is smaller than the sum of its proper divisors (1282705290).

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

1053842742 is a wasteful number, since it uses less digits than its factorization.

1053842742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2533 (or 2530 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 1053842742 is about 32462.9441363534. The cubic root of 1053842742 is about 1017.6347675892.

The spelling of 1053842742 in words is "one billion, fifty-three million, eight hundred forty-two thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 18 47 94 141 282 423 701 846 1402 1777 2103 3554 4206 5331 6309 10662 12618 15993 31986 32947 65894 83519 98841 167038 197682 250557 296523 501114 593046 751671 1245677 1503342 2491354 3737031 7474062 11211093 22422186 58546819 117093638 175640457 351280914 526921371 1053842742