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97894992 = 243131923359
BaseRepresentation
bin1011101010111…
…00001001010000
320211012120200110
411311130021100
5200030114432
613414121320
72266044066
oct565341120
9224176613
1097894992
1150293a58
1228950240
1317387640
14d004036
1588dadcc
hex5d5c250

97894992 has 160 divisors (see below), whose sum is σ = 299980800. Its totient is φ = 27219456.

The previous prime is 97894987. The next prime is 97895023. The reversal of 97894992 is 29949879.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 272509 + ... + 272867.

It is an arithmetic number, because the mean of its divisors is an integer number (1874880).

Almost surely, 297894992 is an apocalyptic number.

97894992 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 97894992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149990400).

97894992 is an abundant number, since it is smaller than the sum of its proper divisors (202085808).

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

97894992 is a wasteful number, since it uses less digits than its factorization.

97894992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 419 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 57.

The square root of 97894992 is about 9894.1898101866. The cubic root of 97894992 is about 460.8788993709.

The spelling of 97894992 in words is "ninety-seven million, eight hundred ninety-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 19 23 24 26 38 39 46 48 52 57 69 76 78 92 104 114 138 152 156 184 208 228 247 276 299 304 312 359 368 437 456 494 552 598 624 718 741 874 897 912 988 1077 1104 1196 1311 1436 1482 1748 1794 1976 2154 2392 2622 2872 2964 3496 3588 3952 4308 4667 4784 5244 5681 5744 5928 6821 6992 7176 8257 8616 9334 10488 11362 11856 13642 14001 14352 16514 17043 17232 18668 20463 20976 22724 24771 27284 28002 33028 34086 37336 40926 45448 49542 54568 56004 66056 68172 74672 81852 88673 90896 99084 107341 109136 112008 132112 136344 156883 163704 177346 198168 214682 224016 266019 272688 313766 322023 327408 354692 396336 429364 470649 532038 627532 644046 709384 858728 941298 1064076 1255064 1288092 1418768 1717456 1882596 2039479 2128152 2510128 2576184 3765192 4078958 4256304 5152368 6118437 7530384 8157916 12236874 16315832 24473748 32631664 48947496 97894992