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997643952 = 24342333469
BaseRepresentation
bin111011011101101…
…101011010110000
32120112020120020000
4323131231122300
54020344101302
6242554550000
733502555644
oct7335553260
92515216200
10997643952
11472164738
1223a138300
1312b8c3986
14966d6c24
155c8b831c
hex3b76d6b0

997643952 has 100 divisors (see below), whose sum is σ = 3013103280. Its totient is φ = 318079872.

The previous prime is 997643947. The next prime is 997643957. The reversal of 997643952 is 259346799.

997643952 is a `hidden beast` number, since 99 + 76 + 439 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (997643947) and next prime (997643957).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (997643957) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13074 + ... + 46542.

Almost surely, 2997643952 is an apocalyptic number.

997643952 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 997643952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1506551640).

997643952 is an abundant number, since it is smaller than the sum of its proper divisors (2015459328).

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

997643952 is a wasteful number, since it uses less digits than its factorization.

997643952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33512 (or 33497 counting only the distinct ones).

The product of its digits is 3674160, while the sum is 54.

The square root of 997643952 is about 31585.5022439093. The cubic root of 997643952 is about 999.2140330845.

The spelling of 997643952 in words is "nine hundred ninety-seven million, six hundred forty-three thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 81 92 108 138 144 162 184 207 216 276 324 368 414 432 552 621 648 828 1104 1242 1296 1656 1863 2484 3312 3726 4968 7452 9936 14904 29808 33469 66938 100407 133876 200814 267752 301221 401628 535504 602442 769787 803256 903663 1204884 1539574 1606512 1807326 2309361 2409768 2710989 3079148 3614652 4618722 4819536 5421978 6158296 6928083 7229304 9237444 10843956 12316592 13856166 14458608 18474888 20784249 21687912 27712332 36949776 41568498 43375824 55424664 62352747 83136996 110849328 124705494 166273992 249410988 332547984 498821976 997643952