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1053292624 = 24411605629
BaseRepresentation
bin111110110001111…
…111100001010000
32201101221210211221
4332301333201100
54124120330444
6252303414424
735046560656
oct7661774120
92641853757
101053292624
114a061337a
122548b4414
1313a2a9197
149dc60dd6
156270ba84
hex3ec7f850

1053292624 has 20 divisors (see below), whose sum is σ = 2090530260. Its totient is φ = 513800960.

The previous prime is 1053292621. The next prime is 1053292627. The reversal of 1053292624 is 4262923501.

It is an interprime number because it is at equal distance from previous prime (1053292621) and next prime (1053292627).

It can be written as a sum of positive squares in 2 ways, for example, as 160478224 + 892814400 = 12668^2 + 29880^2 .

It is a super-2 number, since 2×10532926242 = 2218850703545610752, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1053292624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1053292621) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 802159 + ... + 803470.

It is an arithmetic number, because the mean of its divisors is an integer number (104526513).

Almost surely, 21053292624 is an apocalyptic number.

It is an amenable number.

1053292624 is a deficient number, since it is larger than the sum of its proper divisors (1037237636).

1053292624 is a wasteful number, since it uses less digits than its factorization.

1053292624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1605678 (or 1605672 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The square root of 1053292624 is about 32454.4700157005. The cubic root of 1053292624 is about 1017.4576644283.

The spelling of 1053292624 in words is "one billion, fifty-three million, two hundred ninety-two thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 41 82 164 328 656 1605629 3211258 6422516 12845032 25690064 65830789 131661578 263323156 526646312 1053292624