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97890432 = 2731913417
BaseRepresentation
bin1011101010110…
…11000010000000
320211012100102120
411311123002000
5200024443212
613414044240
72266024563
oct565330200
9224170376
1097890432
1150290592
1228949680
1317385543
14d0024da
1588d988c
hex5d5b080

97890432 has 64 divisors (see below), whose sum is σ = 273727200. Its totient is φ = 30910464.

The previous prime is 97890407. The next prime is 97890439. The reversal of 97890432 is 23409879.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (97890439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 588 + ... + 14004.

Almost surely, 297890432 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 97890432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136863600).

97890432 is an abundant number, since it is smaller than the sum of its proper divisors (175836768).

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

97890432 is a wasteful number, since it uses less digits than its factorization.

97890432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13453 (or 13441 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 97890432 is about 9893.9593692313. The cubic root of 97890432 is about 460.8717432662.

The spelling of 97890432 in words is "ninety-seven million, eight hundred ninety thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 304 384 456 608 912 1216 1824 2432 3648 7296 13417 26834 40251 53668 80502 107336 161004 214672 254923 322008 429344 509846 644016 764769 858688 1019692 1288032 1529538 1717376 2039384 2576064 3059076 4078768 5152128 6118152 8157536 12236304 16315072 24472608 32630144 48945216 97890432