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988053352 = 23111319131347
BaseRepresentation
bin111010111001000…
…111111101101000
32112212012022101121
4322321013331220
54010420201402
6242013225024
733325213006
oct7271077550
92485168347
10988053352
11467804120
12236a92174
13129916570
149531ba76
155bb21837
hex3ae47f68

988053352 has 128 divisors (see below), whose sum is σ = 2315174400. Its totient is φ = 388627200.

The previous prime is 988053323. The next prime is 988053361. The reversal of 988053352 is 253350889.

It is a junction number, because it is equal to n+sod(n) for n = 988053299 and 988053308.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2847243 + ... + 2847589.

It is an arithmetic number, because the mean of its divisors is an integer number (18087300).

Almost surely, 2988053352 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 988053352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1157587200).

988053352 is an abundant number, since it is smaller than the sum of its proper divisors (1327121048).

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

988053352 is a wasteful number, since it uses less digits than its factorization.

988053352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 43.

The square root of 988053352 is about 31433.3159561635. The cubic root of 988053352 is about 996.0018198598.

The spelling of 988053352 in words is "nine hundred eighty-eight million, fifty-three thousand, three hundred fifty-two".

Divisors: 1 2 4 8 11 13 19 22 26 38 44 52 76 88 104 131 143 152 209 247 262 286 347 418 494 524 572 694 836 988 1048 1144 1388 1441 1672 1703 1976 2489 2717 2776 2882 3406 3817 4511 4978 5434 5764 6593 6812 7634 9022 9956 10868 11528 13186 13624 15268 18044 18733 19912 21736 26372 27379 30536 32357 36088 37466 45457 49621 52744 54758 64714 72523 74932 85709 90914 99242 109516 129428 145046 149864 171418 181828 198484 219032 258856 290092 342836 355927 363656 396968 500027 580184 590941 685672 711854 863683 942799 1000054 1181882 1423708 1727366 1885598 2000108 2363764 2847416 3454732 3771196 4000216 4727528 6500351 6909464 7542392 9500513 11227879 13000702 19001026 22455758 26001404 38002052 44911516 52002808 76004104 89823032 123506669 247013338 494026676 988053352