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997032288 = 25374193541
BaseRepresentation
bin111011011011011…
…000000101100000
32120111002111011210
4323123120011200
54020220013123
6242533510120
733464430450
oct7333300540
92514074153
10997032288
1147188712a
12239aa2340
1312b73b445
14965b7d60
155c7e6e93
hex3b6d8160

997032288 has 96 divisors (see below), whose sum is σ = 2999082240. Its totient is φ = 284106240.

The previous prime is 997032287. The next prime is 997032299. The reversal of 997032288 is 882230799.

It is a happy number.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (997032287) 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, 279798 + ... + 283338.

It is an arithmetic number, because the mean of its divisors is an integer number (31240440).

Almost surely, 2997032288 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 997032288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1499541120).

997032288 is an abundant number, since it is smaller than the sum of its proper divisors (2002049952).

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

997032288 is a wasteful number, since it uses less digits than its factorization.

997032288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3980 (or 3972 counting only the distinct ones).

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

The square root of 997032288 is about 31575.8180891644. The cubic root of 997032288 is about 999.0097824595.

The spelling of 997032288 in words is "nine hundred ninety-seven million, thirty-two thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 419 672 838 1257 1676 2514 2933 3352 3541 5028 5866 6704 7082 8799 10056 10623 11732 13408 14164 17598 20112 21246 23464 24787 28328 35196 40224 42492 46928 49574 56656 70392 74361 84984 93856 99148 113312 140784 148722 169968 198296 281568 297444 339936 396592 594888 793184 1189776 1483679 2379552 2967358 4451037 5934716 8902074 10385753 11869432 17804148 20771506 23738864 31157259 35608296 41543012 47477728 62314518 71216592 83086024 124629036 142433184 166172048 249258072 332344096 498516144 997032288