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998941152 = 253112233739
BaseRepresentation
bin111011100010101…
…010000111100000
32120121200110122110
4323202222013200
54021212104102
6243042435320
733516600606
oct7342520740
92517613573
10998941152
11472970300
1223a662b40
1312bc59251
1496953876
155ca7286c
hex3b8aa1e0

998941152 has 144 divisors (see below), whose sum is σ = 3008396160. Its totient is φ = 289470720.

The previous prime is 998941121. The next prime is 998941157. The reversal of 998941152 is 251149899.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (998941157) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 265299 + ... + 269037.

It is an arithmetic number, because the mean of its divisors is an integer number (20891640).

Almost surely, 2998941152 is an apocalyptic number.

998941152 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 998941152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1504198080).

998941152 is an abundant number, since it is smaller than the sum of its proper divisors (2009455008).

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

998941152 is a wasteful number, since it uses less digits than its factorization.

998941152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3797 (or 3778 counting only the distinct ones).

The product of its digits is 233280, while the sum is 48.

The square root of 998941152 is about 31606.0303106860. The cubic root of 998941152 is about 999.6469260201.

The spelling of 998941152 in words is "nine hundred ninety-eight million, nine hundred forty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 32 33 44 46 48 66 69 88 92 96 121 132 138 176 184 242 253 264 276 352 363 368 484 506 528 552 726 736 759 968 1012 1056 1104 1452 1518 1936 2024 2208 2783 2904 3036 3739 3872 4048 5566 5808 6072 7478 8096 8349 11132 11217 11616 12144 14956 16698 22264 22434 24288 29912 33396 41129 44528 44868 59824 66792 82258 85997 89056 89736 119648 123387 133584 164516 171994 179472 246774 257991 267168 329032 343988 358944 452419 493548 515982 658064 687976 904838 945967 987096 1031964 1316128 1357257 1375952 1809676 1891934 1974192 2063928 2714514 2751904 2837901 3619352 3783868 3948384 4127856 5429028 5675802 7238704 7567736 8255712 10405637 10858056 11351604 14477408 15135472 20811274 21716112 22703208 30270944 31216911 41622548 43432224 45406416 62433822 83245096 90812832 124867644 166490192 249735288 332980384 499470576 998941152