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842172630 = 235132433863
BaseRepresentation
bin110010001100101…
…000100011010110
32011200200210122220
4302030220203112
53211044011010
6215322403210
726604230535
oct6214504326
92150623586
10842172630
113a2425842
121b6060506
1310562a600
147dbc631c
154de07970
hex323288d6

842172630 has 96 divisors (see below), whose sum is σ = 2240130816. Its totient is φ = 202430592.

The previous prime is 842172619. The next prime is 842172631. The reversal of 842172630 is 36271248.

It is a super-2 number, since 2×8421726302 = 1418509477442233800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 842172591 and 842172600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (842172631) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 216079 + ... + 219941.

It is an arithmetic number, because the mean of its divisors is an integer number (23334696).

Almost surely, 2842172630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 842172630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1120065408).

842172630 is an abundant number, since it is smaller than the sum of its proper divisors (1397958186).

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

842172630 is a wasteful number, since it uses less digits than its factorization.

842172630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3942 (or 3929 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 842172630 is about 29020.2107159821. The cubic root of 842172630 is about 944.3515721928.

The spelling of 842172630 in words is "eight hundred forty-two million, one hundred seventy-two thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 43 65 78 86 129 130 169 195 215 258 338 390 430 507 559 645 845 1014 1118 1290 1677 1690 2535 2795 3354 3863 5070 5590 7267 7726 8385 11589 14534 16770 19315 21801 23178 36335 38630 43602 50219 57945 72670 100438 109005 115890 150657 166109 218010 251095 301314 332218 498327 502190 652847 753285 830545 996654 1305694 1506570 1661090 1958541 2159417 2491635 3264235 3917082 4318834 4983270 6478251 6528470 9792705 10797085 12956502 19585410 21594170 28072421 32391255 56144842 64782510 84217263 140362105 168434526 280724210 421086315 842172630