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985628007 = 34713133717
BaseRepresentation
bin111010101111110…
…111110101100111
32112200122002110000
4322233313311213
54004310044012
6241445232343
733265462020
oct7257676547
92480562400
10985628007
114663a7a01
122361026b3
13129277650
1494c89c47
155b7e2ddc
hex3abf7d67

985628007 has 40 divisors (see below), whose sum is σ = 1812146336. Its totient is φ = 519887808.

The previous prime is 985628003. The next prime is 985628009. The reversal of 985628007 is 700826589.

985628007 is a `hidden beast` number, since 9 + 8 + 562 + 80 + 0 + 7 = 666.

It is not a de Polignac number, because 985628007 - 22 = 985628003 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (985628003) 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, 59488 + ... + 74229.

Almost surely, 2985628007 is an apocalyptic number.

985628007 is a deficient number, since it is larger than the sum of its proper divisors (826518329).

985628007 is a wasteful number, since it uses less digits than its factorization.

985628007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133749 (or 133740 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 985628007 is about 31394.7130421668. The cubic root of 985628007 is about 995.1862001808.

The spelling of 985628007 in words is "nine hundred eighty-five million, six hundred twenty-eight thousand, seven".

Divisors: 1 3 7 9 13 21 27 39 63 81 91 117 189 273 351 567 819 1053 2457 7371 133717 401151 936019 1203453 1738321 2808057 3610359 5214963 8424171 10831077 12168247 15644889 25272513 36504741 46934667 75817539 109514223 140804001 328542669 985628007