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1052009904 = 243116189367
BaseRepresentation
bin111110101101000…
…110010110110000
32201022112122021210
4332231012112300
54123303304104
6252220120120
735032636161
oct7655062660
92638478253
101052009904
1149a917680
12254396040
13139c4a38a
149da09768
1562556989
hex3eb465b0

1052009904 has 160 divisors (see below), whose sum is σ = 3055518720. Its totient is φ = 309196800.

The previous prime is 1052009873. The next prime is 1052009909. The reversal of 1052009904 is 4099002501.

It is a happy number.

It is a super-2 number, since 2×10520099042 = 2213449676228178432, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1052009909) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2866329 + ... + 2866695.

It is an arithmetic number, because the mean of its divisors is an integer number (19096992).

Almost surely, 21052009904 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 1052009904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1527759360).

1052009904 is an abundant number, since it is smaller than the sum of its proper divisors (2003508816).

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

1052009904 is a wasteful number, since it uses less digits than its factorization.

1052009904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 1052009904 is about 32434.7021567950. The cubic root of 1052009904 is about 1017.0444701517.

The spelling of 1052009904 in words is "one billion, fifty-two million, nine thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 61 66 88 89 122 132 176 178 183 244 264 267 356 366 367 488 528 534 671 712 732 734 976 979 1068 1101 1342 1424 1464 1468 1958 2013 2136 2202 2684 2928 2936 2937 3916 4026 4037 4272 4404 5368 5429 5872 5874 7832 8052 8074 8808 10736 10858 11748 12111 15664 16104 16148 16287 17616 21716 22387 23496 24222 32208 32296 32574 32663 43432 44774 46992 48444 59719 64592 65148 65326 67161 86864 89548 96888 97989 119438 130296 130652 134322 179096 179157 193776 195978 238876 246257 260592 261304 268644 358192 358314 359293 391956 477752 492514 522608 537288 716628 718586 738771 783912 955504 985028 1074576 1077879 1433256 1437172 1477542 1567824 1970056 1992443 2155758 2866512 2874344 2955084 3940112 3984886 4311516 5748688 5910168 5977329 7969772 8623032 11820336 11954658 15939544 17246064 21916873 23909316 31879088 43833746 47818632 65750619 87667492 95637264 131501238 175334984 263002476 350669968 526004952 1052009904