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97644048 = 24331211311
BaseRepresentation
bin1011101000111…
…10111000010000
320210201211110020
411310132320100
5144444102143
613404503440
72263650345
oct564367020
9223654406
1097644048
1150132467
122884ab80
13172ca358
14cd7a7cc
15888b883
hex5d1ee10

97644048 has 80 divisors (see below), whose sum is σ = 262459392. Its totient is φ = 31248000.

The previous prime is 97644047. The next prime is 97644061. The reversal of 97644048 is 84044679.

It is not an unprimeable number, because it can be changed into a prime (97644047) by changing a digit.

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, 313813 + ... + 314123.

Almost surely, 297644048 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 97644048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131229696).

97644048 is an abundant number, since it is smaller than the sum of its proper divisors (164815344).

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

97644048 is a wasteful number, since it uses less digits than its factorization.

97644048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 97644048 is about 9881.5002909477. The cubic root of 97644048 is about 460.4847567755.

The spelling of 97644048 in words is "ninety-seven million, six hundred forty-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 211 248 311 372 422 496 622 633 744 844 933 1244 1266 1488 1688 1866 2488 2532 3376 3732 4976 5064 6541 7464 9641 10128 13082 14928 19282 19623 26164 28923 38564 39246 52328 57846 65621 77128 78492 104656 115692 131242 154256 156984 196863 231384 262484 313968 393726 462768 524968 787452 1049936 1574904 2034251 3149808 4068502 6102753 8137004 12205506 16274008 24411012 32548016 48822024 97644048