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842281780 = 2251931127563
BaseRepresentation
bin110010001101000…
…011001100110100
32011200220100101111
4302031003030310
53211111004110
6215325004404
726605164004
oct6215031464
92150810344
10842281780
113a249a84a
121b60b3704
131056681b2
147dc14004
154de29e8a
hex32343334

842281780 has 96 divisors (see below), whose sum is σ = 1940520960. Its totient is φ = 305907840.

The previous prime is 842281763. The next prime is 842281831. The reversal of 842281780 is 87182248.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1495779 + ... + 1496341.

It is an arithmetic number, because the mean of its divisors is an integer number (20213760).

Almost surely, 2842281780 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 842281780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (970260480).

842281780 is an abundant number, since it is smaller than the sum of its proper divisors (1098239180).

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

842281780 is a wasteful number, since it uses less digits than its factorization.

842281780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 40.

The square root of 842281780 is about 29022.0912409840. The cubic root of 842281780 is about 944.3923680731.

The spelling of 842281780 in words is "eight hundred forty-two million, two hundred eighty-one thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 19 20 31 38 62 76 95 124 127 155 190 254 310 380 508 563 589 620 635 1126 1178 1270 2252 2356 2413 2540 2815 2945 3937 4826 5630 5890 7874 9652 10697 11260 11780 12065 15748 17453 19685 21394 24130 34906 39370 42788 48260 53485 69812 71501 74803 78740 87265 106970 143002 149606 174530 213940 286004 299212 331607 349060 357505 374015 663214 715010 748030 1326428 1358519 1430020 1496060 1658035 2216531 2717038 3316070 4433062 5434076 6632140 6792595 8866124 11082655 13585190 22165310 27170380 42114089 44330620 84228178 168456356 210570445 421140890 842281780