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997194144 = 25397173619
BaseRepresentation
bin111011011011111…
…111100110100000
32120111101201012110
4323123333212200
54020240203034
6242541155320
733466003362
oct7333774640
92514351173
10997194144
114719877a1
12239b5bb40
1312b79700b
149661ad32
155c829de9
hex3b6ff9a0

997194144 has 96 divisors (see below), whose sum is σ = 2664204480. Its totient is φ = 326541312.

The previous prime is 997194131. The next prime is 997194167. The reversal of 997194144 is 441491799.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 997194093 and 997194102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1610667 + ... + 1611285.

It is an arithmetic number, because the mean of its divisors is an integer number (27752130).

Almost surely, 2997194144 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 997194144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1332102240).

997194144 is an abundant number, since it is smaller than the sum of its proper divisors (1667010336).

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

997194144 is a wasteful number, since it uses less digits than its factorization.

997194144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902 (or 894 counting only the distinct ones).

The product of its digits is 326592, while the sum is 48.

The square root of 997194144 is about 31578.3809591309. The cubic root of 997194144 is about 999.0638385419.

The spelling of 997194144 in words is "nine hundred ninety-seven million, one hundred ninety-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 97 173 194 291 346 388 519 582 619 692 776 1038 1164 1238 1384 1552 1857 2076 2328 2476 2768 3104 3714 4152 4656 4952 5536 7428 8304 9312 9904 14856 16608 16781 19808 29712 33562 50343 59424 60043 67124 100686 107087 120086 134248 180129 201372 214174 240172 268496 321261 360258 402744 428348 480344 536992 642522 720516 805488 856696 960688 1285044 1441032 1610976 1713392 1921376 2570088 2882064 3426784 5140176 5764128 10280352 10387439 20774878 31162317 41549756 62324634 83099512 124649268 166199024 249298536 332398048 498597072 997194144