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842441532 = 22319291031237
BaseRepresentation
bin110010001101101…
…010001100111100
32011201012110112020
4302031222030330
53211131112112
6215332240140
726606430522
oct6215521474
92151173466
10842441532
113a2599879
121b6170050
131056c2b1a
147dc56312
154de5c48c
hex3236a33c

842441532 has 96 divisors (see below), whose sum is σ = 2163033600. Its totient is φ = 254161152.

The previous prime is 842441521. The next prime is 842441563. The reversal of 842441532 is 235144248.

842441532 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 842441493 and 842441502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 680418 + ... + 681654.

It is an arithmetic number, because the mean of its divisors is an integer number (22531600).

Almost surely, 2842441532 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 842441532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1081516800).

842441532 is an abundant number, since it is smaller than the sum of its proper divisors (1320592068).

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

842441532 is a wasteful number, since it uses less digits than its factorization.

842441532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1395 (or 1393 counting only the distinct ones).

The product of its digits is 30720, while the sum is 33.

The square root of 842441532 is about 29024.8433587504. The cubic root of 842441532 is about 944.4520705923.

The spelling of 842441532 in words is "eight hundred forty-two million, four hundred forty-one thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 12 19 29 38 57 58 76 87 103 114 116 174 206 228 309 348 412 551 618 1102 1236 1237 1653 1957 2204 2474 2987 3306 3711 3914 4948 5871 5974 6612 7422 7828 8961 11742 11948 14844 17922 23484 23503 35844 35873 47006 56753 70509 71746 94012 107619 113506 127411 141018 143492 170259 215238 227012 254822 282036 340518 382233 430476 509644 681036 681587 764466 1363174 1528932 2044761 2420809 2726348 3694919 4089522 4841618 7262427 7389838 8179044 9683236 11084757 14524854 14779676 22169514 29049708 44339028 70203461 140406922 210610383 280813844 421220766 842441532