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988841472 = 29319311093
BaseRepresentation
bin111010111100001…
…000011000000000
32112220200100111020
4322330020120000
54011120411342
6242042145440
733335004513
oct7274103000
92486610436
10988841472
114681a2263
122371b2280
13129b311c8
1495484d7a
155bc2a0ec
hex3af08600

988841472 has 160 divisors (see below), whose sum is σ = 2865054720. Its totient is φ = 301916160.

The previous prime is 988841467. The next prime is 988841561. The reversal of 988841472 is 274148889.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 904158 + ... + 905250.

It is an arithmetic number, because the mean of its divisors is an integer number (17906592).

Almost surely, 2988841472 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 988841472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1432527360).

988841472 is an abundant number, since it is smaller than the sum of its proper divisors (1876213248).

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

988841472 is a wasteful number, since it uses less digits than its factorization.

988841472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1164 (or 1148 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 51.

The square root of 988841472 is about 31445.8498374587. The cubic root of 988841472 is about 996.2665695096.

It can be divided in two parts, 9888 and 41472, that added together give a triangular number (51360 = T320).

The spelling of 988841472 in words is "nine hundred eighty-eight million, eight hundred forty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 31 32 38 48 57 62 64 76 93 96 114 124 128 152 186 192 228 248 256 304 372 384 456 496 512 589 608 744 768 912 992 1093 1178 1216 1488 1536 1767 1824 1984 2186 2356 2432 2976 3279 3534 3648 3968 4372 4712 4864 5952 6558 7068 7296 7936 8744 9424 9728 11904 13116 14136 14592 15872 17488 18848 20767 23808 26232 28272 29184 33883 34976 37696 41534 47616 52464 56544 62301 67766 69952 75392 83068 101649 104928 113088 124602 135532 139904 150784 166136 203298 209856 226176 249204 271064 279808 301568 332272 406596 419712 452352 498408 542128 559616 643777 664544 813192 839424 904704 996816 1084256 1287554 1329088 1626384 1678848 1931331 1993632 2168512 2575108 2658176 3252768 3862662 3987264 4337024 5150216 5316352 6505536 7725324 7974528 8674048 10300432 10632704 13011072 15450648 15949056 17348096 20600864 26022144 30901296 31898112 41201728 52044288 61802592 82403456 123605184 164806912 247210368 329613824 494420736 988841472