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97481856 = 2731931431
BaseRepresentation
bin1011100111101…
…11010010000000
320210102120222010
411303313102000
5144423404411
613401212520
72262403443
oct563672200
9223376863
1097481856
115003161a
1228791140
1317271594
14cd3765a
1588587a6
hex5cf7480

97481856 has 128 divisors (see below), whose sum is σ = 282009600. Its totient is φ = 29721600.

The previous prime is 97481833. The next prime is 97481863. The reversal of 97481856 is 65818479.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 225961 + ... + 226391.

It is an arithmetic number, because the mean of its divisors is an integer number (2203200).

Almost surely, 297481856 is an apocalyptic number.

97481856 is a gapful number since it is divisible by the number (96) 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 97481856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141004800).

97481856 is an abundant number, since it is smaller than the sum of its proper divisors (184527744).

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

97481856 is a wasteful number, since it uses less digits than its factorization.

97481856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 486 counting only the distinct ones).

The product of its digits is 483840, while the sum is 48.

The square root of 97481856 is about 9873.2900291645. The cubic root of 97481856 is about 460.2296521842.

The spelling of 97481856 in words is "ninety-seven million, four hundred eighty-one thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 31 32 38 48 57 62 64 76 93 96 114 124 128 152 186 192 228 248 304 372 384 431 456 496 589 608 744 862 912 992 1178 1216 1293 1488 1724 1767 1824 1984 2356 2432 2586 2976 3448 3534 3648 3968 4712 5172 5952 6896 7068 7296 8189 9424 10344 11904 13361 13792 14136 16378 18848 20688 24567 26722 27584 28272 32756 37696 40083 41376 49134 53444 55168 56544 65512 75392 80166 82752 98268 106888 113088 131024 160332 165504 196536 213776 226176 253859 262048 320664 393072 427552 507718 524096 641328 761577 786144 855104 1015436 1048192 1282656 1523154 1572288 1710208 2030872 2565312 3046308 3144576 4061744 5130624 6092616 8123488 12185232 16246976 24370464 32493952 48740928 97481856