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1035488090 = 257213162557
BaseRepresentation
bin111101101110000…
…100101101011010
32200011110020121202
4331232010231122
54110041104330
6250430034202
734442334500
oct7556045532
92604406552
101035488090
1149156258a
1224a948962
131366b4160
149b748670
1560d91445
hex3db84b5a

1035488090 has 48 divisors (see below), whose sum is σ = 2334983112. Its totient is φ = 327712896.

The previous prime is 1035488081. The next prime is 1035488131. The reversal of 1035488090 is 908845301.

It can be written as a sum of positive squares in 4 ways, for example, as 768786529 + 266701561 = 27727^2 + 16331^2 .

It is a super-3 number, since 3×10354880903 (a number of 28 digits) contains 333 as substring.

It is an unprimeable number.

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, 74909 + ... + 87648.

Almost surely, 21035488090 is an apocalyptic number.

1035488090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1035488090 is an abundant number, since it is smaller than the sum of its proper divisors (1299495022).

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

1035488090 is a wasteful number, since it uses less digits than its factorization.

1035488090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162591 (or 162584 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 38.

The square root of 1035488090 is about 32179.0007613661. Note that the first 3 decimals coincide. The cubic root of 1035488090 is about 1011.6921247583.

The spelling of 1035488090 in words is "one billion, thirty-five million, four hundred eighty-eight thousand, ninety".

Divisors: 1 2 5 7 10 13 14 26 35 49 65 70 91 98 130 182 245 455 490 637 910 1274 3185 6370 162557 325114 812785 1137899 1625570 2113241 2275798 4226482 5689495 7965293 10566205 11378990 14792687 15930586 21132410 29585374 39826465 73963435 79652930 103548809 147926870 207097618 517744045 1035488090