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1000485472 = 25743241431
BaseRepresentation
bin111011101000100…
…011001001100000
32120201120221001111
4323220203021200
54022111013342
6243135513104
733535662160
oct7350431140
92521527044
101000485472
114738255a8
1223b088794
1312c37a14c
1496c365a0
155cc7a217
hex3ba23260

1000485472 has 96 divisors (see below), whose sum is σ = 2318367744. Its totient is φ = 416102400.

The previous prime is 1000485463. The next prime is 1000485481. The reversal of 1000485472 is 2745840001.

It is an interprime number because it is at equal distance from previous prime (1000485463) and next prime (1000485481).

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2321097 + ... + 2321527.

It is an arithmetic number, because the mean of its divisors is an integer number (24149664).

Almost surely, 21000485472 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 1000485472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1159183872).

1000485472 is an abundant number, since it is smaller than the sum of its proper divisors (1317882272).

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

1000485472 is a wasteful number, since it uses less digits than its factorization.

1000485472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 31.

The square root of 1000485472 is about 31630.4516565919. The cubic root of 1000485472 is about 1000.1617978201.

The spelling of 1000485472 in words is "one billion, four hundred eighty-five thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 86 112 172 224 241 301 344 431 482 602 688 862 964 1204 1376 1687 1724 1928 2408 3017 3374 3448 3856 4816 6034 6748 6896 7712 9632 10363 12068 13496 13792 18533 20726 24136 26992 37066 41452 48272 53984 72541 74132 82904 96544 103871 129731 145082 148264 165808 207742 259462 290164 296528 331616 415484 518924 580328 593056 727097 830968 1037848 1160656 1454194 1661936 2075696 2321312 2908388 3323872 4151392 4466453 5816776 8932906 11633552 17865812 23267104 31265171 35731624 62530342 71463248 125060684 142926496 250121368 500242736 1000485472