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1052009574 = 2371121371511
BaseRepresentation
bin111110101101000…
…110010001100110
32201022112121211120
4332231012101212
54123303301244
6252220114410
735032635210
oct7655062146
92638477746
101052009574
1149a917400
12254395a06
13139c4a195
149da095b0
1562556819
hex3eb46466

1052009574 has 96 divisors (see below), whose sum is σ = 2664119808. Its totient is φ = 271075200.

The previous prime is 1052009557. The next prime is 1052009579. The reversal of 1052009574 is 4759002501.

It is a super-2 number, since 2×10520095742 = 2213448287575322952, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1052009579) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 695479 + ... + 696989.

It is an arithmetic number, because the mean of its divisors is an integer number (27751248).

Almost surely, 21052009574 is an apocalyptic number.

1052009574 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1052009574, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1332059904).

1052009574 is an abundant number, since it is smaller than the sum of its proper divisors (1612110234).

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

1052009574 is a wasteful number, since it uses less digits than its factorization.

1052009574 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1682 (or 1671 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 33.

The square root of 1052009574 is about 32434.6970696506. The cubic root of 1052009574 is about 1017.0443638078.

The spelling of 1052009574 in words is "one billion, fifty-two million, nine thousand, five hundred seventy-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 121 137 154 231 242 274 363 411 462 726 822 847 959 1507 1511 1694 1918 2541 2877 3014 3022 4521 4533 5082 5754 9042 9066 10549 10577 16577 16621 21098 21154 31647 31731 33154 33242 49731 49863 63294 63462 99462 99726 116039 116347 182831 207007 232078 232694 348117 349041 365662 414014 548493 621021 696234 698082 1096986 1242042 1279817 1449049 2277077 2559634 2898098 3839451 4347147 4554154 6831231 7678902 8694294 13662462 15939539 25047847 31879078 47818617 50095694 75143541 95637234 150287082 175334929 350669858 526004787 1052009574