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998977952 = 25723712731
BaseRepresentation
bin111011100010110…
…011000110100000
32120121202100010102
4323202303012200
54021214243302
6243043321532
733520113110
oct7342630640
92517670112
10998977952
11472995a15
1223a6802a8
1312bc6cc1b
1496963040
155ca7d702
hex3b8b31a0

998977952 has 96 divisors (see below), whose sum is σ = 2379331584. Its totient is φ = 403603200.

The previous prime is 998977943. The next prime is 998977961. The reversal of 998977952 is 259779899.

It is an interprime number because it is at equal distance from previous prime (998977943) and next prime (998977961).

It is a super-2 number, since 2×9989779522 = 1995913897164228608, which contains 22 as substring.

It is a pancake number, because a pancake can be divided into 998977952 parts by 44698 straight cuts.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 364427 + ... + 367157.

It is an arithmetic number, because the mean of its divisors is an integer number (24784704).

Almost surely, 2998977952 is an apocalyptic number.

998977952 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 998977952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1189665792).

998977952 is an abundant number, since it is smaller than the sum of its proper divisors (1380353632).

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

998977952 is a wasteful number, since it uses less digits than its factorization.

998977952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2842 (or 2834 counting only the distinct ones).

The product of its digits is 25719120, while the sum is 65.

The square root of 998977952 is about 31606.6124727089. The cubic root of 998977952 is about 999.6592012027.

The spelling of 998977952 in words is "nine hundred ninety-eight million, nine hundred seventy-seven thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 71 92 112 142 161 184 224 284 322 368 497 568 644 736 994 1136 1288 1633 1988 2272 2576 2731 3266 3976 5152 5462 6532 7952 10924 11431 13064 15904 19117 21848 22862 26128 38234 43696 45724 52256 62813 76468 87392 91448 125626 152936 182896 193901 251252 305872 365792 387802 439691 502504 611744 775604 879382 1005008 1357307 1551208 1758764 2010016 2714614 3102416 3517528 4459723 5429228 6204832 7035056 8919446 10858456 14070112 17838892 21716912 31218061 35677784 43433824 62436122 71355568 124872244 142711136 249744488 499488976 998977952