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998007076 = 2211234167359
BaseRepresentation
bin111011011111000…
…110000100100100
32120112221000100001
4323133012010210
54020442211301
6243010431044
733505630423
oct7337060444
92515830301
10998007076
11472392540
1223a292484
1312b9c0041
149678d2ba
155c93ac01
hex3b7c6124

998007076 has 96 divisors (see below), whose sum is σ = 2072770560. Its totient is φ = 415852800.

The previous prime is 998007041. The next prime is 998007077. The reversal of 998007076 is 670700899.

998007076 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is not an unprimeable number, because it can be changed into a prime (998007077) 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, 2779785 + ... + 2780143.

It is an arithmetic number, because the mean of its divisors is an integer number (21591360).

Almost surely, 2998007076 is an apocalyptic number.

998007076 is the 15796-th decagonal number.

It is an amenable number.

998007076 is an abundant number, since it is smaller than the sum of its proper divisors (1074763484).

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

998007076 is a wasteful number, since it uses less digits than its factorization.

998007076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 46.

The square root of 998007076 is about 31591.2499910972. The cubic root of 998007076 is about 999.3352502056.

The spelling of 998007076 in words is "nine hundred ninety-eight million, seven thousand, seventy-six".

Divisors: 1 2 4 11 22 23 41 44 46 67 82 92 134 164 253 268 359 451 506 718 737 902 943 1012 1436 1474 1541 1804 1886 2747 2948 3082 3772 3949 5494 6164 7898 8257 10373 10988 14719 15796 16514 16951 20746 24053 29438 30217 33028 33902 41492 48106 58876 60434 63181 67804 90827 96212 120868 126362 161909 181654 252724 264583 323818 338537 363308 529166 553219 647636 677074 694991 986173 1058332 1106438 1354148 1389982 1972346 2212876 2779964 3723907 3944692 6085409 7447814 10847903 12170818 14895628 21695806 22681979 24341636 43391612 45363958 90727916 249501769 499003538 998007076