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97288704 = 293243491
BaseRepresentation
bin1011100110010…
…00001000000000
320210001210000100
411303020020000
5144401214304
613353122400
72260640352
oct563101000
9223053010
1097288704
114aa0a497
12286b9400
13172046a6
14ccc70d2
15881b439
hex5cc8200

97288704 has 120 divisors (see below), whose sum is σ = 287896752. Its totient is φ = 31610880.

The previous prime is 97288703. The next prime is 97288727. The reversal of 97288704 is 40788279.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 97288704.

It is not an unprimeable number, because it can be changed into a prime (97288703) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 197899 + ... + 198389.

Almost surely, 297288704 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 97288704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143948376).

97288704 is an abundant number, since it is smaller than the sum of its proper divisors (190608048).

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

97288704 is a wasteful number, since it uses less digits than its factorization.

97288704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 97288704 is about 9863.5036371464. The cubic root of 97288704 is about 459.9254825732.

It can be divided in two parts, 972 and 88704, that added together give a triangular number (89676 = T423).

The spelling of 97288704 in words is "ninety-seven million, two hundred eighty-eight thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 64 72 86 96 128 129 144 172 192 256 258 288 344 384 387 491 512 516 576 688 768 774 982 1032 1152 1376 1473 1536 1548 1964 2064 2304 2752 2946 3096 3928 4128 4419 4608 5504 5892 6192 7856 8256 8838 11008 11784 12384 15712 16512 17676 21113 22016 23568 24768 31424 33024 35352 42226 47136 49536 62848 63339 66048 70704 84452 94272 99072 125696 126678 141408 168904 188544 190017 198144 251392 253356 282816 337808 377088 380034 506712 565632 675616 754176 760068 1013424 1131264 1351232 1520136 2026848 2262528 2702464 3040272 4053696 5404928 6080544 8107392 10809856 12161088 16214784 24322176 32429568 48644352 97288704