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997380048 = 243716318211
BaseRepresentation
bin111011011100101…
…100111111010000
32120111202011012210
4323130230333100
54020312130143
6242545152120
733500406360
oct7334547720
92514664183
10997380048
11471aa4435
1223a02b640
1312b830812
14966689a0
155c865033
hex3b72cfd0

997380048 has 80 divisors (see below), whose sum is σ = 2962873856. Its totient is φ = 283201920.

The previous prime is 997380037. The next prime is 997380049. The reversal of 997380048 is 840083799.

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 = 997379979 and 997380006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (997380049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45663 + ... + 63873.

Almost surely, 2997380048 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 997380048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1481436928).

997380048 is an abundant number, since it is smaller than the sum of its proper divisors (1965493808).

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

997380048 is a wasteful number, since it uses less digits than its factorization.

997380048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18392 (or 18386 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The square root of 997380048 is about 31581.3243547512. The cubic root of 997380048 is about 999.1259188715.

The spelling of 997380048 in words is "nine hundred ninety-seven million, three hundred eighty thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 163 168 326 336 489 652 978 1141 1304 1956 2282 2608 3423 3912 4564 6846 7824 9128 13692 18211 18256 27384 36422 54633 54768 72844 109266 127477 145688 218532 254954 291376 382431 437064 509908 764862 874128 1019816 1529724 2039632 2968393 3059448 5936786 6118896 8905179 11873572 17810358 20778751 23747144 35620716 41557502 47494288 62336253 71241432 83115004 124672506 142482864 166230008 249345012 332460016 498690024 997380048