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1009987792 = 241121127197
BaseRepresentation
bin111100001100110…
…011000011010000
32121101110200210021
4330030303003100
54032024102132
6244115313224
734012516552
oct7414630320
92541420707
101009987792
11479125860
122422ab814
13131326318
14981cb4d2
155da05997
hex3c3330d0

1009987792 has 40 divisors (see below), whose sum is σ = 2144943072. Its totient is φ = 456892800.

The previous prime is 1009987763. The next prime is 1009987813. The reversal of 1009987792 is 2977899001.

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 7 ways as a sum of consecutive naturals, for example, 23538 + ... + 50734.

Almost surely, 21009987792 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 1009987792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1072471536).

1009987792 is an abundant number, since it is smaller than the sum of its proper divisors (1134955280).

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

1009987792 is a wasteful number, since it uses less digits than its factorization.

1009987792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27427 (or 27421 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 52.

The square root of 1009987792 is about 31780.3050960811. The cubic root of 1009987792 is about 1003.3182410973.

The spelling of 1009987792 in words is "one billion, nine million, nine hundred eighty-seven thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 44 88 176 211 422 844 1688 2321 3376 4642 9284 18568 27197 37136 54394 108788 217576 299167 435152 598334 1196668 2393336 4786672 5738567 11477134 22954268 45908536 63124237 91817072 126248474 252496948 504993896 1009987792