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97919904 = 25310110099
BaseRepresentation
bin1011101011000…
…10001110100000
320211020211212010
411311202032200
5200031414104
613414432520
72266206525
oct565421640
9224224763
1097919904
1150300745
1228962740
1317395a94
14d00d14c
1588e3489
hex5d623a0

97919904 has 48 divisors (see below), whose sum is σ = 259610400. Its totient is φ = 32313600.

The previous prime is 97919837. The next prime is 97919911. The reversal of 97919904 is 40991979.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4647 + ... + 14745.

It is an arithmetic number, because the mean of its divisors is an integer number (5408550).

Almost surely, 297919904 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 97919904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129805200).

97919904 is an abundant number, since it is smaller than the sum of its proper divisors (161690496).

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

97919904 is a wasteful number, since it uses less digits than its factorization.

97919904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10213 (or 10205 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 48.

The square root of 97919904 is about 9895.4486507687. The cubic root of 97919904 is about 460.9179903775.

The spelling of 97919904 in words is "ninety-seven million, nine hundred nineteen thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 101 202 303 404 606 808 1212 1616 2424 3232 4848 9696 10099 20198 30297 40396 60594 80792 121188 161584 242376 323168 484752 969504 1019999 2039998 3059997 4079996 6119994 8159992 12239988 16319984 24479976 32639968 48959952 97919904