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997541808 = 243314183197
BaseRepresentation
bin111011011101010…
…100011110110000
32120112001101002220
4323131110132300
54020332314213
6242552441040
733501652104
oct7335243660
92515041086
10997541808
114720a4a1a
1223a0a9180
1312b889333
14966ab904
155c897e23
hex3b7547b0

997541808 has 160 divisors (see below), whose sum is σ = 2771822592. Its totient is φ = 308582400.

The previous prime is 997541803. The next prime is 997541833. The reversal of 997541808 is 808145799.

It is not an unprimeable number, because it can be changed into a prime (997541801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5063566 + ... + 5063762.

Almost surely, 2997541808 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 997541808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1385911296).

997541808 is an abundant number, since it is smaller than the sum of its proper divisors (1774280784).

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

997541808 is a wasteful number, since it uses less digits than its factorization.

997541808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 51.

The square root of 997541808 is about 31583.8852581502. The cubic root of 997541808 is about 999.1799303362.

The spelling of 997541808 in words is "nine hundred ninety-seven million, five hundred forty-one thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 41 48 62 82 83 93 123 124 164 166 186 197 246 248 249 328 332 372 394 492 496 498 591 656 664 744 788 984 996 1182 1271 1328 1488 1576 1968 1992 2364 2542 2573 3152 3403 3813 3984 4728 5084 5146 6107 6806 7626 7719 8077 9456 10168 10209 10292 12214 13612 15252 15438 16154 16351 18321 20336 20418 20584 24231 24428 27224 30504 30876 32308 32702 36642 40836 41168 48462 48856 49053 54448 61008 61752 64616 65404 73284 81672 96924 97712 98106 105493 123504 129232 130808 146568 163344 193848 196212 210986 250387 261616 293136 316479 387696 392424 421972 500774 506881 632958 670391 751161 784848 843944 1001548 1013762 1265916 1340782 1502322 1520643 1687888 2003096 2011173 2027524 2531832 2681564 3004644 3041286 4006192 4022346 4055048 5063664 5363128 6009288 6082572 8044692 8110096 10726256 12018576 12165144 16089384 20782121 24330288 32178768 41564242 62346363 83128484 124692726 166256968 249385452 332513936 498770904 997541808