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537950040 = 2335171913879
BaseRepresentation
bin100000000100000…
…111011101011000
31101111020200201120
4200010013131120
52100203400130
6125214045240
716221333315
oct4004073530
91344220646
10537950040
11256727911
121301a9820
13875b1844
1451633d0c
1532362910
hex20107758

537950040 has 128 divisors (see below), whose sum is σ = 1798848000. Its totient is φ = 127899648.

The previous prime is 537950027. The next prime is 537950071. The reversal of 537950040 is 40059735.

It is a junction number, because it is equal to n+sod(n) for n = 537949983 and 537950010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31821 + ... + 45699.

It is an arithmetic number, because the mean of its divisors is an integer number (14053500).

Almost surely, 2537950040 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 537950040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899424000).

537950040 is an abundant number, since it is smaller than the sum of its proper divisors (1260897960).

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

537950040 is a wasteful number, since it uses less digits than its factorization.

537950040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13929 (or 13925 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 33.

The square root of 537950040 is about 23193.7500202102. The cubic root of 537950040 is about 813.2935250306.

The spelling of 537950040 in words is "five hundred thirty-seven million, nine hundred fifty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 19 20 24 30 34 38 40 51 57 60 68 76 85 95 102 114 120 136 152 170 190 204 228 255 285 323 340 380 408 456 510 570 646 680 760 969 1020 1140 1292 1615 1938 2040 2280 2584 3230 3876 4845 6460 7752 9690 12920 13879 19380 27758 38760 41637 55516 69395 83274 111032 138790 166548 208185 235943 263701 277580 333096 416370 471886 527402 555160 707829 791103 832740 943772 1054804 1179715 1318505 1415658 1582206 1665480 1887544 2109608 2359430 2637010 2831316 3164412 3539145 3955515 4482917 4718860 5274020 5662632 6328824 7078290 7911030 8965834 9437720 10548040 13448751 14156580 15822060 17931668 22414585 26897502 28313160 31644120 35863336 44829170 53795004 67243755 89658340 107590008 134487510 179316680 268975020 537950040