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97049344 = 287311747
BaseRepresentation
bin1011100100011…
…01101100000000
320202121121200011
411302031230000
5144321034334
613344034304
72255622460
oct562155400
9222547604
1097049344
114a866677
1228602994
131714c762
14cc63ba0
1587c0564
hex5c8db00

97049344 has 72 divisors (see below), whose sum is σ = 228666368. Its totient is φ = 40227840.

The previous prime is 97049333. The next prime is 97049347. The reversal of 97049344 is 44394079.

It is a junction number, because it is equal to n+sod(n) for n = 97049297 and 97049306.

It is not an unprimeable number, because it can be changed into a prime (97049347) 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, 54679 + ... + 56425.

Almost surely, 297049344 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 97049344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114333184).

97049344 is an abundant number, since it is smaller than the sum of its proper divisors (131617024).

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

97049344 is a wasteful number, since it uses less digits than its factorization.

97049344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1801 (or 1787 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

The square root of 97049344 is about 9851.3625453538. The cubic root of 97049344 is about 459.5479869827.

The spelling of 97049344 in words is "ninety-seven million, forty-nine thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 128 217 224 248 256 434 448 496 868 896 992 1736 1747 1792 1984 3472 3494 3968 6944 6988 7936 12229 13888 13976 24458 27776 27952 48916 54157 55552 55904 97832 108314 111808 195664 216628 223616 379099 391328 433256 447232 758198 782656 866512 1516396 1565312 1733024 3032792 3130624 3466048 6065584 6932096 12131168 13864192 24262336 48524672 97049344