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1000495476 = 223429233457
BaseRepresentation
bin111011101000100…
…101100101110100
32120201121102210000
4323220211211310
54022111323401
6243140031300
733536033301
oct7350454564
92521542700
101000495476
11473832072
1223b092530
1312c381876
1496c3a0a8
155cc7d186
hex3ba25974

1000495476 has 120 divisors (see below), whose sum is σ = 2723240520. Its totient is φ = 319915008.

The previous prime is 1000495471. The next prime is 1000495481. The reversal of 1000495476 is 6745940001.

1000495476 is a `hidden beast` number, since 100 + 0 + 4 + 9 + 547 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (1000495471) and next prime (1000495481).

It can be written as a sum of positive squares in 4 ways, for example, as 189612900 + 810882576 = 13770^2 + 28476^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1000495476.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000495471) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2189040 + ... + 2189496.

It is an arithmetic number, because the mean of its divisors is an integer number (22693671).

Almost surely, 21000495476 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 1000495476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1361620260).

1000495476 is an abundant number, since it is smaller than the sum of its proper divisors (1722745044).

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

1000495476 is a wasteful number, since it uses less digits than its factorization.

1000495476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1000495476 is about 31630.6097949439. The cubic root of 1000495476 is about 1000.1651313968.

The spelling of 1000495476 in words is "one billion, four hundred ninety-five thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 162 174 233 261 324 348 457 466 522 699 783 914 932 1044 1371 1398 1566 1828 2097 2349 2742 2796 3132 4113 4194 4698 5484 6291 6757 8226 8388 9396 12339 12582 13253 13514 16452 18873 20271 24678 25164 26506 27028 37017 37746 39759 40542 49356 53012 60813 74034 75492 79518 81084 106481 119277 121626 148068 159036 182439 212962 238554 243252 319443 357831 364878 425924 477108 547317 638886 715662 729756 958329 1073493 1094634 1277772 1431324 1916658 2146986 2189268 2874987 3087949 3833316 4293972 5749974 6175898 8624961 9263847 11499948 12351796 17249922 18527694 27791541 34499844 37055388 55583082 83374623 111166164 166749246 250123869 333498492 500247738 1000495476